Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Prerequisite Skills Diagnostic Test: 23

Answer

${(x^{2}+1)}^\frac{-1}{2}\times(x+5+3x^{2})$

Work Step by Step

${(x^{2}+1)}^\frac{-1}{2}\times(x+2)+3{(x^{2}+1)}^\frac{1}{2}$ 1. Factor out ${(x^{2}+1)}^\frac{-1}{2}$ from the expression: ${(x^{2}+1)}^\frac{-1}{2}\times(x+2+3(x^{2}+1))$ 2. Distribute 3 through the parenthesis: ${(x^{2}+1)}^\frac{-1}{2}\times(x+2+3x^{2}+3)$ 3. Combine like terms to get your answer: ${(x^{2}+1)}^\frac{-1}{2}\times(x+5+3x^{2})$
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