Question

Factorize 2x - 32x^5. Please make the answer simple and step by step.

Answer 1

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Answer 2

The factories form is $2x - 32x^5=2x(1+4x^2)(1+2x)(1-2x)$

Step-by-step explanation:

Given : Expression $2x - 32x^5$

To find : Factories the equation ?

Solution :

Expression $2x - 32x^5$

Take 2x common,

$2x - 32x^5=2x(1-16x^4)$

$2x - 32x^5=2x(1^2-(4x^2)^2)$

Using algebraic identity, $a^2-b^2=(a+b)(a-b)$

$2x - 32x^5=2x(1+4x^2)(1-4x^2)$

$2x - 32x^5=2x(1+4x^2)(1^2-(2x)^2)$

$2x - 32x^5=2x(1+4x^2)(1+2x)(1-2x)$

Therefore, the factories form is $2x - 32x^5=2x(1+4x^2)(1+2x)(1-2x)$

#Learn more

Factorize using identities

4x^2+4x+1

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