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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 6.71 (page 607)

Factor completely: $16 x^{3} - 36 x$

Short Answer

Expert verified

The required factors are $4 x (4 x - 3) (4 x + 3)$

Step by step solution

01

Step 1. Given Information

The given expression is $16 x^{3} - 36 x$

02

Step 2. Calculation

We will first take out the common factor out and they apply the property to find the required factors.

$16 x^{3} - 36 x = 4 x (16 x^{2} - 9) = 4 x ({(4 x)}^{2} - {(3)}^{2}) = 4 x (4 x - 3) (4 x + 3)$

03

Step 3. Check

We will check the obtained factors by multiplying them.

$4 x (4 x - 3) (4 x + 3) = 4 x ({(4 x)}^{2} - {(3)}^{2}) = 4 x (16 x^{2} - 9) = 16 x^{3} - 36 x$

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Most popular questions from this chapter

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