Answer
$x^2+12x+35$
Work Step by Step
$\frac{x^2+13x+40}{x-7}\div\frac{x+8}{x^2-49}$
$\frac{x^2+13x+40}{x-7}*\frac{x^2-49}{x+8}$
$\frac{(x+5)(x+8)}{x-7}*\frac{(x+7)(x-7)}{x+8}$
$\frac{(x+5)(x+8)(x+7)(x-7)}{(x-7)(x+8)}$
$(x+5)(x+7)$
$x^2+12x+35$
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 11 - Rational Expressions and Functions - Chapter Review - 11-2 and 11-3 Multiplying adn Dividing Rational Expressions and Dividing Polynomials - Page 704: 13
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