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 - Chapter Review: 19

Answer

$3d^3+18d^2$

Work Step by Step

We can multiply a monomial by a polynomial using the distributive property, which states that we multiply the term outside the parentheses by each term inside the parentheses and then combine like terms to simplify: $$3d(6d+d^2)=3d(6d)+(3d)(d^2)=18d^2+3d^3$$To write in standard form, the term with the highest power must come first. This gives us: $3d^3+18d^2$.
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