College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Factoring Polynomials - R.5 Assess Your Understanding: 38

Answer

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

Work Step by Step

$x^3+125$ To factor the sum of difference of two cubes, let us remember $a^3 + b^3 = (a + b)(a^2 – ab + b^2)$ and $a^3 – b^3 = (a – b)(a^2 + ab + b^2).$ Therefore, when we factor, we get $(x+5)(x^2-5x+25).$
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