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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 249 (page 537)

In the following exercises, find the product of $(x^{2} 鈥� + 鈥� 8 y) (8 x 鈥� 鈭� 鈥� y^{2})$ .

Short Answer

Expert verified

The product of $(x^{2} + 8 y) (8 x - y^{2})$ is role="math" localid="1644393429702" $8 x^{3} - x^{2} y^{2} + 64 x y - 8 y^{3}$ .

Step by step solution

01

Step 1. Given Information

The given expression is $(x^{2} + 8 y) (8 x - y^{2})$ .

02

Step 2. Solve for the multiplication of given expression.

Multiply the expression $(x^{2} + 8 y) (8 x - y^{2})$ .

$(x^{2} + 8 y) (8 x - y^{2}) = x^{2} 路鈥� 8 x + x^{2} (- y^{2}) + 8 y 路鈥� 8 x + 8 y (- y^{2}) x^{2} 路鈥� 8 x + x^{2} (- y^{2}) + 8 y 路鈥� 8 x + 8 y (- y^{2}) = 8 x^{3} - x^{2} y^{2} + 64 x y - 8 y^{3}$

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