Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 64

Answer

$(2x+5)(4x^2-10x+25)$

Work Step by Step

RECALL: A sum of two cubes can be factored using the formula: $a^3+b^3 = (a+b)(a^2-ab+b^2)$ The given expression can be written as: $=2^3x^3+5^3 \\(2x)^3+5^3$ The binomial above is a sum of two cubes. Factor using the formula above with $a=2x$ and $b=5$ to obtain: $=(2x+5)[(2x)^2-2x(5) + 5^2) \\=(2x+5)(4x^2-10x+25)$
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