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Chapter 7: Q. 401 (page 735)

In the following exercises, perform the indicated operations.

x2x-7-3x+28x-7

Short Answer

Expert verified

The expression is simplified asx+4

Step by step solution

01

Step 1. Given information

Expression: x2x-7-3x+28x-7

here denominator for both fraction is same

02

Step 2. subtract the numerator of both fractions by keeping denominator same  

x2-(3x+28)x-7=x2-3x-28x-7

03

Step 3. Factorize the numerator

x2-7x+4x-28x-7=x(x-7)+4(x-7)x-7=(x-7)(x+4)x-7

04

Step 4. Cancel common factor from numerator and denominator  

x+4

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Most popular questions from this chapter

In the following exercise, find

(a) Rx=fx+gx

(b) R(x)=f(x)-g(x):

f(x)=-5x-5x2+x-6gx=x+12-x

In the following exercises, find the domain of each function.

Rx=8x2-32x2x2-6x-80

A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?

In the following exercises, divide the rational expressions.

2a2-a-215a+20a2+7a+12a2+8a+16

Dividey2-164梅y3-642y2+8y+32
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