College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Concept and Vocabulary Check - Page 16: 5

Answer

$9x^{2}(x^{2}-2x+3)$

Work Step by Step

To solve this algebraic expression by multiplying the monomial and trinomial using the distributive property of multipication. Distribute $9x^{2}$ in each term by multiplying. Then, find the product of each term. To perform the exponent, apply the properties or law of exponent. Which is the product of a power. Example: $(x^{a})(x^{b})$ = $x^{a+b}$ $(x^{2})(x^{2})$ = $x^{2+2}$ = $x^{4}$ $9x^{2} (x^{2} - 2x + 3)$ =$9x^{2}(x^{2})$ - $9x^{2}(2x)$ + $9x^{2}(3)$ = $9x^{4}$ - $18x^{3}$+ $27x^{2} $ answer
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