Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 123


$2(3x+4)(9x+13) .$

Work Step by Step

We factor out $3x+4$ and then distribute, combine like terms and simplify as follows:\begin{align*} 2(3x + 4)^2 & + (2x + 3) \cdot 2(3x + 4) \cdot 3\\ &=(3x+4)[2(3x+4)+2\cdot 3(2x+3)]\\ &=(3x+4)(6x+8+12x+18)\\ &=(3x+4)(18x+26)\\ &=2(3x+4)(9x+13) . \end{align*}
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