Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.1-7.4 - Quiz - Page 384: 10

Answer

$-8d^2+26d-15$.

Work Step by Step

The given expression is $=(3-4d)(2d-5)$ Distribute $(2d-5)$ to each term of $(3-4d)$. $=3(2d-5)-4d(2d-5)$ Use distributive property. $=3(2d)+3(-5)-4d(2d)-4d(-5)$ Multiply. $=6d-15-8d^2+20d$ Combine like terms. $=-8d^2+26d-15$ Hence, the product is $-8d^2+26d-15$.
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