Multiplication Involving Rational Expressions Multiplication involving rational expressions works the same way as multiplication of any other fractions. We multiply the numerators to find the numerator of the product, and then multiply the denominators to find the denominator of the product. Before multiplying, it is helpful to factor the numerators and denominators just as we did when simplifying rational expressions. After multiplying we are often able to simplify the rational expression 2x2+6x 9 9x and simplify Example 5 Multiply the rational expressions: 9. х2 — 2х- 3 x26x+9 9(2x) (-9)(x-1) (x -3)(x+)(x* 3) 9 (x-1) (x+3) ax (x-3)(x+1) = - 102x (x-) (x-3)(x41)(x+3)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.7: Rational Expressions
Problem 103E
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Can you explain why (x+3) cancels out with the exponent? Is there another way to solve this problem or is it actually necessary to cancel it? I do not understand why it cancels and I have a test tomorrow. I will really appreciate if you could explain it or give me another way to do it without canceling. Thank you. 

Multiplication Involving Rational Expressions
Multiplication involving rational expressions works the same way as multiplication of any other fractions. We
multiply the numerators to find the numerator of the product, and then multiply the denominators to find the
denominator of the product. Before multiplying, it is helpful to factor the numerators and denominators just as we
did when simplifying rational expressions. After multiplying we are often able to simplify the rational expression
2x2+6x
9 9x
and simplify
Example 5 Multiply the rational expressions: 9.
х2 — 2х- 3
x26x+9
9(2x) (-9)(x-1)
(x -3)(x+)(x* 3)
9 (x-1)
(x+3)
ax
(x-3)(x+1)
= - 102x (x-)
(x-3)(x41)(x+3)
Transcribed Image Text:Multiplication Involving Rational Expressions Multiplication involving rational expressions works the same way as multiplication of any other fractions. We multiply the numerators to find the numerator of the product, and then multiply the denominators to find the denominator of the product. Before multiplying, it is helpful to factor the numerators and denominators just as we did when simplifying rational expressions. After multiplying we are often able to simplify the rational expression 2x2+6x 9 9x and simplify Example 5 Multiply the rational expressions: 9. х2 — 2х- 3 x26x+9 9(2x) (-9)(x-1) (x -3)(x+)(x* 3) 9 (x-1) (x+3) ax (x-3)(x+1) = - 102x (x-) (x-3)(x41)(x+3)
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