Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 502: 33

Answer

$10a^{3}+12a^{2}+9a-20$

Work Step by Step

$\left[\begin{array}{lllllllll} & 2a^{2} & +4a & +5 & & & & & \\ & & 5a & -4 & & & & & \\ -- & -- & -- & -- & & & & & \\ & -8a^{2} & -16a & -20 & \text{multiply by }-4 & & & & \\ 10a^{3} & +20a^{2} & +25a & & \text{multiply by } 5a & & & & \\ -- & -- & -- & -- & \text{add like terms } & & & & \\ 10a^{3} & +12a^{2} & 9a & -20 & & & & & \end{array}\right.$ Answer: $10a^{3}+12a^{2}+9a-20$
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