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

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!

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

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.

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.

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.

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:

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

Answers

Answer:

4x-7

Step-by-step explanation:

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:

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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.

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.

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

what is the measure of b?

Answers

Answer:

mesure of b is what hahhahaha

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?

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:

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

what is 5/5 because i get confuse

Answers

Answer:

5/5 is a whole also equal to 1

Step-by-step explanation:

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.

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

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!

Please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

SSS postulate of congruency

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

Answers

Answer:

[tex]x=4.16[/tex]

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:

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:

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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:

yo lets play among us!!

Answers

Answer:

yass dude lets go

Answer:

Yo, thats one of my fav games...

ur sus

LOL

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:

please help!! i’m stuck

Answers

Answer:

17

Step-by-step explanation:

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:

Someone help me please and thank you

Answers

Answer:

no

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

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
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