Show that a/(b+1) - a/(b+1)^2 can be written as ab/(b+1)^2

Answers

Answer 1

Step-by-step explanation:

[tex] \dfrac{a}{b+1} - \dfrac{a}{(b+1)^2} = [/tex]

[tex] = \dfrac{b + 1}{b + 1} \times \dfrac{a}{b+1} - \dfrac{a}{(b+1)^2} [/tex]

[tex] = \dfrac{a(b + 1)}{(b+1)^2} - \dfrac{a}{(b+1)^2} [/tex]

[tex] = \dfrac{ab + a}{(b+1)^2} - \dfrac{a}{(b+1)^2} [/tex]

[tex] = \dfrac{ab + a - a}{(b+1)^2} [/tex]

[tex] = \dfrac{ab}{(b+1)^2} [/tex]

Answer 2

Answer:

Proof

Step-by-step explanation:

[tex] \frac{a}{(b + 1)} - \frac{a}{ {(b + 1)}^{2} } [/tex]

Multiply the first fraction (the numerator and the denominator) by

[tex](b + 1) \\[/tex]

In order to get common denominators for both fractions

[tex] \frac{a(b + 1)}{ {(b + 1)}^{2} } - \frac{a}{ {(b + 1)}^{2} } [/tex]

Then expand the first fraction's numerator and subtract fractions to get your answer

[tex] \frac{ab + a}{ {(b + 1)}^{2} } - \frac{a}{ {(b + 1)}^{2} } = \frac{ab}{ {(b + 1)}^{2} } [/tex]


Related Questions

Evaluate the expression 3c +7d when c = 3 and d =2

Answers

The answer to this is 23
I got 23.

When a variable is directly next to a number, that means multiplication. Using simple order of operations, 3 x 3 = 9 and 7 x 2 = 14, your answer is 23.

Decide whether each sentence uses descriptive language or not. Jasmine saw a frog in the road. She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows. The sky was a dull and murky gray. The boy watched his brother play on the swing set.

Answers

Answer:

Decide whether each sentence uses descriptive language or not.

Jasmine saw a frog in the road.

✔ not descriptive

She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows.

✔ descriptive

The sky was a dull and murky gray.

✔ descriptive

The boy watched his brother play on the swing set.

✔ not descriptive

Step-by-step explanation:

Jasmine saw a frog in the road is a non-descriptive sentence.

What is a sentence?

A sentence can be defined as the part where the phrase and the words are. This often contains a subject and a predicate. For a sentence, it needs to be grammatically correct. Also, there should be proper punctuation marks that are needed in a sentence. It can contain a noun or a pronoun. The sentence helps in communicating the thoughts.

The descriptive and nondescriptive sentences are given below:

Jasmine saw a frog in the road is a non-descriptive sentence. She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows is a descriptive sentence. The sky was dull and murky gray is a descriptive sentence. The boy watched his brother play on the swing set is a non-descriptive sentence.

Learn more about sentence, Here:

https://brainly.com/question/27891489

#SPJ2

QUICK PLEASE ILL MARK BRAINLIEST (PRETEST: FUNCTIONS - PLATO EDMENTUM)

Answers

Answer:

y=5-05x is with (2,4),(4,3)

y=7-1x is with (2,5),(5,2)

y=-5+2x is with (4,3),(6,7)

y=4+3x is with (2,10) and (5,19)

Answer:

y=5-05x is with (2,4),(4,3)

y=7-1x is with (2,5),(5,2)

y=-5+2x is with (4,3),(6,7)

y=4+3x is with (2,10) and (5,19)

Step-by-step explanation:

What is the measure of angle DFE?

29°
32°
58°
64°

Answers

Answer:

The answer is 64 degrees

Step-by-step explanation:

D on edg

Answer:

D- 64 degrees

Step-by-step explanation:

whats the answer to -4-x+5x-3

Answers

Answer:

4x-7

Step-by-step explanation:

Let P= {8, 9, 10, 11, 12), Q = {9, 10, 11), and R = {5, 6}.
Find P∪O.​

Answers

PUQ= {8,9,10,11,12} is the answer

pic2 Readiness Assessment
00:00
Which two ratios are equivalent to 10 - 12?
A 11:13 and 20:24
o
B. 10:12 and 11 : 13
C. 5:6 and 20:24
D. 5:6 and 11 : 13

Answers

The answer is C- 5:6 and 20:24.


10-12 is equal to 5:6 and 20:24 by dividing and multiplying by 2:

10 divided by 2 is 5 and 12 divided by 2 is 6.

10 times 2 is 20 and 12 times 2 is 24.

What is 24 divided by 11

Answers

24 divided by 11 is 2.18, repeated!

In other words, 2.1818181818... et cetera!

Hope this helps!

Answer:

2.18 (the .18 repeating)

Step-by-step explanation:

easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year

Answers

Answer:   18350_________________________________I started by multiplying  50 * 365, which equals to 18250.So then I added the 100 that we started with to get 18350.

Hope this helped!

Also can I please have Brainliest?

I need help nowwwww, like today.
What is the slope of the line on the graph?

Answers

Answer:

i forgot im not smart

Step-by-step explanation:

A student has some​ $1 and​ $5 bills in his wallet. He has a total of 15 bills that are worth ​$35. How many of each type of bill does he​ have?

Answers

He has 5 $5 bills and 10 $1 bills because 5x5=25 and 10x1=10. to check the answer you add 25+10=35.

Need help on homework​

Answers

Answer: z= 36 and 2/3

Step-by-step explanation:

1) [tex]\frac{z}{5} -4= 3\frac{1}{3}[/tex]

2) Add 4 to both sides to get [tex]\frac{z}{5} =7 \frac{1}{3}[/tex]

3) Multiply both sides by 5 to get [tex]z= 36 \frac{2}{3}[/tex]

Answer:

z=110/3

Step-by-step explanation:

Given f(x) = 7(2 - x), what is the value of f(-8)?

Answers

The answer is f(-8)=70 because (2-(-8) is 10 because you add when it’s - - (minus a negative) and then 7x10=70

what is 5/5 because i get confuse

Answers

Answer:

5/5 is a whole also equal to 1

Step-by-step explanation:

What are you doing for thanksgiving? 1 paragraph plz

Answers

Answer:nothing. im just gonna watch netflix and eat popcorn. Hope this helps!

Answer:

Well, for starters I'm gonna eat TURKEY. Then i will eat potato. potato is yummy. sometimes i want to eat a frog. if i eat the frog the frog i roast a dog.

Step-by-step explanation:

I just need to know what to do when I have this
-4ac
and I know what a and c are

Answers

Answer:

you have to multiply them

-4×a×c

also they're called unknown numbers

A gallon of paint is used to paint a room. One third of the paint is used on the first day. On the second day, one third of the remaining paint is used. What fraction of the original amount of paint is available to use on the third day? Please help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

On the third day u can use 1/3 also.

Step-by-step explanation:

1/3 x 3 = 3/3 or 1.

please help!! i’m stuck

Answers

Answer:

17

Step-by-step explanation:

solve for x -2(-x+1)+3x+3=26

Answers

Answer:

[tex]x=4.16[/tex]

yo lets play among us!!

Answers

Answer:

yass dude lets go

Answer:

Yo, thats one of my fav games...

ur sus

LOL

a carpenter has three sheets of plywood that are each 6.85 feet long. a 3.4-foot piece is cut from one sheet 0.5-foot piece is cut from another piece. How many feet in plywood is left in all

Answers

Answer:

16.65 feet

Step-by-step explanation:

Okay, we have three boards that are each 6.85 feet long. If we cut 3.4 feet off one board, that board has:

6.85

3.4

=

3.45

feet left

If we cut off 0.5 feet off another board, that board has:

6.85

0.5

=

6.35

feet left

So, if we take our three new boards, the total length of plywood left is:

6.85

+

3.45

+

6.35

=

16.65

feet

Hope this helps!

what is the measure of b?

Answers

Answer:

mesure of b is what hahhahaha

Please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

SSS postulate of congruency

2. Find the x and y
intercepts:
y = 1/2x+4

Answers

Answer:

y intercept = 4

x intercept = -8

Step-by-step explanation:

0 = x/2 + 4

-4 = x/2

-8 = x

y=mx+b

y = 1/2x+4

Y intercept = b, b= 4

Consider the function f(x) = v5x – 5+1
Which inequality is used to find the domain?

Answers

Answer:

D second one D and C

Step-by-step explanation:

edg2020

Answer:

D.

Step-by-step explanation:

edge… you’re welcome!

Write each number in scientific notation

1) 0.524
2) 0.0000901
3) 0.00000707

Answers

Answer:

1) 5.24x10^-1

2)9.01x10^-5

3) 7.07x10^-6

Step-by-step explanation:

1) Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2) Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3) Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

There are two loaf cakes. One is 36cm long and one is 27cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

Answers

Answer = 1cm

27,35 hcf = 1 so 1cm is a large slice.

What is the missing angle?

I have the answer I just need
to show the work. pls help ;-;

The answer is 55

Answers

The answer is 55
Ghjol
The inside angles of a triangle = 180
So 75+50=125
180-125=55

Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.
(10 points)
25
20
O 10
05

Answers

Answer:

10

2(10)-5

20-5

15

10 should be your answer

The solution is : the value of x that makes f(x) = 15, is x = 10.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

we have,

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

Substitute in f(x) [Function]:                                                                             15 = 2x - 5

[Addition Property of Equality] Add 5 on both sides:                                    20 = 2x

[Division Property of Equality] Divide 2 on both sides:                                  10 = x

Rewrite:                                                                                                             x = 10

hence, The solution is : the value of x that makes f(x) = 15, is x = 10.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ7

Someone help me please and thank you

Answers

Answer:

no

the point (4,3) is not within the shaded region

Other Questions
what is the correct value of x in the equation 2x + 3= 6 What should teacher do to motivate the preschool students in distance learning?How can teacher survive in teaching preschool students in distance learning?What should the teacher do to support the preschool student in distance learning?What are some challenges that students face when submitting their activity/performance? When the Aryans brought their sacred writings to the Indus Valley, they introduced a new __________ to the region.A.religionB.alphabetC.trade centerD.political structurePlease select the best answer from the choices providedABCD 8. Which of the following provides few vitamins & minerals and are high in sugars and fats?a. Fruitsb. Meats, poultry, fish, dry beans, eggs, & nutsc. Milk, yogurt, & cheesed. Fats, oils, & sweets IM TIMED! I NEED HELPWhat is a plateau?a narrow piece of land that connects two larger pieces of landan area of land that is surrounded by water on three sidesland that is generally flat and located at sea levelland with a level surface that is higher than the land surrounding it Find the value of x and y. What is the slope of the line that goes through the points (-1,4) and (14,-2)? Which Tab contains the font style attributes? PLEASE HELP I WILL GIVE 50 POINTSStep 1: Create your poster. On the poster board, draw a roller coaster track that starts with one large hill, followed by a valley, and then another, smaller hill. Draw a cart in four different positions on the track, as outlined below. First, draw the cart at the top of the first hill. Label it A. Second, draw the cart going down the first hill, into the valley. Label it B. iii. Third, draw the cart at the bottom of the valley. Label it C. iv. Last, draw the cart at the top of the second, smaller hill. Label it D. c) Draw an energy pie chart above each of the carts four positions. Choose your reference point for determining height. Create a pie chart that accurately represents the ratio of the three forms of energy and label the sections of the pie Eg for gravitational potential energy, Ek for kinetic energy, and Eth for thermal energy. Find m angle f to the nearest degree Write at least one full paragraph? When the Commissioner acts as a disciplinary authority, he must the price of an item has been reduced by 35%. the original price was $67. whats the items price now? N2 + 3 H2 --> 2 NH3The balanced equation above indicates that if 2 moles of N2 react, then2 moles of H2 will also react3 moles of H2 will also react4 moles of NH3 will be produced2 moles of NH3 will be produced help me here! cant seem to find the answer.. ;-; What is the primary source of electrical energy to thevehicle while it is running?CPU Power SystemBattery SystemCharging SystemStarter System The _________ of a hypothesis test is the probability (1minus beta) of rejecting a false null hypothesis. Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: pequals0.6 versus Upper H 1: pgreater than0.6 nequals200; xequals135, alphaequals0.05 Is np 0 (1 minus p 0 )greater than or equals10.Use technology to find the P-Value. A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 4 miles per hour and walk at 4 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? Please give me the correct answer