Intermediate Algebra for College Students (7th Edition)

Published by Pearson

Chapter 5 - Section 5.5 - Factoring Special Forms - Concept and Vocabulary Check: 11

Answer

$-\text{ }\text{ } 10$ $+ \text{ } \text{ }100$;

Work Step by Step

The given expression can be written as: $=x^3+10^3$ (a difference of two cubes) RECALL: The difference of two cubes $a^3-b^3$ can be factored as $(a-b)(a^2+ab+b^2)$. Factor the difference of two cubes using the formula above with $a=x$ and $b=10$ to obtain: $=(x-10)(x^2+x(10)+10^2) \\=(x-10)(x^2+10x+100)$ Thus, the missing expressions in the given statement are: $-\text{ }\text{ } 10$ $+ \text{ } \text{ }100$;

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