Answer
$(x^2+7x-20)/(x+2)(x-4)$
Work Step by Step
$5/(2+x) + x/(x-4)$
$5/(2+x)*(x-4)/(x-4) + x/(x-4)*(2+x)/(2+x)$
$(5(x-4) + x(2+x))/(x+2)(x-4)$
$(5x-20 +2x+x^2)/(x+2)(x-4)$
$(x^2+7x-20)/(x+2)(x-4)$
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 - 11-4 Adding and Subtracting Rational Expressions - Page 705: 19
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