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: 18

Answer

$6g^3-48g^2$

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: $$6g^2(g-8)=6g^2(g)+(6g^2)(-8)=6g^3-48g^2$$To write in standard form, the term with the highest power must come first. This expression is already in standard form.
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