Factor 32x3 + 4?

Solution:

Factoring 32x3 + 4 we have

4 × (8x3 + 1)

= 4((2x)3 + (1)3)

We know that a3 + b3 can be factorized as:

a3 + b3 = (a² - ab + b²)(a + b)

(2x)3 + (1)3 = ((2x)² - (2x)(1) + (1)²)(2x + 1)

= (4x² - 2x + 1)(2x + 1)

Factor 32x3 + 4

Summary:

On factoring 32x3 + 4 we get (4x² - 2x + 1)(2x + 1)

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