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 A41: 129



Work Step by Step

We factor out $(4x - 3)$ and distribute, combine like terms, and simplify as follows: \begin{align*} (4x - 3)^2 &+ x \cdot 2(4x - 3)\cdot 4\\ &=(4x - 3)[4x-3+8x)]\\ &=(4x-3)(12x-3)\\ &=3(4x-3)(4x-1). \end{align*}
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