Answer
$ 15y^2 - 27y + 30$
Work Step by Step
We simplify by removing the parentheses and then combine the like terms as follows
$$
9(y^2 - 3y + 4) - 6(1 - y^2)=9y^2 - 27y + 36 - 6 +6y^2\\
= 15y^2 - 27y + 30
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 39
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