## Calculus with Applications (10th Edition)

Published by Pearson

# Prerequisite Skills Diagnostic Test: 11

#### Answer

$y^{2}+4y-6$

#### Work Step by Step

Write out equation $(5y^{2}-6y-4)-2(3y^{2}-5y+1)$ Distribute the 2 over $(3y^{2}-5y+1)$ $(5y^{2}-6y-4)-(6y^{2}-10y+2)$ Distribute the -1 over $6y^{2}-10y+2)$ (you can drop both sets of parentheses after this step $5y^{2}-6y-4-6y^{2}+10y-2$ Combine like terms $-y^{2}+4y-6$

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