Answer
$(x+2)(x+4)(x-2)(x-4)$
Work Step by Step
Use: $6x=4x+2x$ and $-6x=-4x-2x$
$(x^2+8)^2-36x^2=(x^2+8)^2-(6x)^2=(x^2+8+6x)(x^2+8-6x)=(x^2+4x+2x+8)(x^2-4x-2x+8)=[x(x+4)+2(x+4)][x(x-4)-2(x-4)]=(x+2)(x+4)(x-2)(x-4)$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Prerequisites - p.4 - Factoring Polynomials - Exercises - Page 39: 62
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