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

Step 1. Given Information

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

Step 2. Calculation

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

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

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Check

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Factor completely:16x3-36x

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

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