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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 253 (page 537)

In the following exercises, find the product of ${(m^{3} - 8 n)}^{2}$ .

Short Answer

Expert verified

The product of ${(m^{3} - 8 n)}^{2}$ is $m^{6} - 16 m^{3} n + 64 n^{2}$

Step by step solution

01

Step 1. Given Information.

The given expression is ${(m^{3} - 8 n)}^{2}$ .

02

Step 2. Solve for the multiplication of given expression.

Multiply the expression ${(m^{3} - 8 n)}^{2}$ .

${(m^{3} - 8 n)}^{2} = {(m^{3})}^{2} - 2 m^{3} \cdot 8 n + {(8 n)}^{2} {(m^{3})}^{2} - 2 m^{3} \cdot 8 n + {(8 n)}^{2} = m^{6} - 16 m^{3} n + 64 n^{2}$

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Most popular questions from this chapter

In the following exercises , simplify the expression $(4 a^{3} b) (9 a^{2} b^{6})$ .

$Find the :difference (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7)$

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$(q - 5) (q + 8)$

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See all solutions

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