1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVETLANKA909090 [29]
3 years ago
13

Simplify into one fraction

Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer and Explanation :

We have simplify the expressions into one fraction :

1) Expression \frac{7}{x-3}+ \frac{3}{x-5}

Taking LCM in the denominator,

=\frac{7(x-5)+3(x-3)}{(x-3)(x-5)}

=\frac{7x-35+3x-9}{x^2-5x-3x+15}

=\frac{10x-44}{x^2-8x+15}

The required form is \frac{7}{x-3}+ \frac{3}{x-5}=\frac{10x-44}{x^2-8x+15}

2) Expression \frac{-5}{x-3}-(-4\cdot(x+2))

Taking LCM in the denominator,

\frac{-5}{x-3}+(4x+8)

=\frac{-5+(4x+8)(x-3))}{x-3}

=\frac{-5+4x^2-12x+8x-24}{x-3}

=\frac{4x^2-4x-29}{x-3}

The required form is \frac{-5}{x-3}-(-4\cdot(x+2))=\frac{4x^2-4x-29}{x-3}

3) Expression \frac{6}{x+7}- \frac{3}{x-2}

Taking LCM in the denominator,

=\frac{6(x-2)-3(x+7)}{(x+7)(x-2)}

=\frac{6x-12-3x-21}{x^2-2x+7x-14}

=\frac{3x-33}{x^2+6x-14}

The required form is \frac{6}{x+7}- \frac{3}{x-2}=\frac{3x-33}{x^2+6x-14}

artcher [175]3 years ago
3 0
1. 10x-44/x(squared)-8x+15
2. X+22/x(squared) -x-6
3.3x-33/x(squared)+5x-14
You might be interested in
The Spinner has 8 equal sized sections, each labeled 1,2,3 or 4.
stiv31 [10]
Since there are 3 "2's" and 8 total options, the probability is 3/8 or C.
6 0
3 years ago
Read 2 more answers
A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is lab
klemol [59]
It would be 7.5ft by 30ft
Because I just multiplied 12 by 5/2 which is 30
Then I multiplied 3 by 5/2 which is 7.5
6 0
3 years ago
Read 2 more answers
Write this expression in simplified form.<br> -5x^6*9x^5
masya89 [10]

Answer:

-45x^11

Step-by-step explanation:

-5x^6 * 9x^5

Multiply -5x and 9x together:

-45x

Remember when multiplying powers, you add them together, which leaves you with:

-45x^11

5 0
3 years ago
Question in the picture
Mrac [35]
3,3,2 or 5,5,3 Basically just 2 same numbers for the 2 sides of the triangle and 1 other number for the base
3 0
2 years ago
Read 2 more answers
What are the next 3 terms of the following sequence?<br> 3, -1, -5, -9
MA_775_DIABLO [31]

Answer: -13, -17, -21

Explanation: Subtract 4 from each term. Do this for 3 terms

6 0
2 years ago
Other questions:
  • What is 33 1/2 of 24 and 37 1/2 of 80 and finally, what is 66 2/3 of 45
    15·2 answers
  • Help asap i will upvote
    14·1 answer
  • Suppose an x-y axis is superimposed on the map with its origin at Des Moines, Iowa. also suppose a cold front is passing through
    6·1 answer
  • Which expression gives the best estimate of 45 percent of 76?
    13·2 answers
  • For some job the rate will be set by a minimum specified in the fair labor standards act
    15·1 answer
  • 8 more than a number p is 17. show your work
    5·2 answers
  • Choose the correct graph to fit the equation. 4x - 3y = -1
    7·1 answer
  • What is 6 1/4 written as a decimal?
    8·1 answer
  • I need help im stuck on this please I will be thankful​
    6·2 answers
  • 35.1 divided by 2.7 explanation to
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!