Question

Factorize 8x3-2x
Pls help me

Answer 1

8x^3 - 2x

= 2x (4x^2 -1)

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

Answer 2

$\displaystyle \sf{8 {x}^{3} - 2x } = 2x(2x + 1)(2x - 1)$

Given :

The expression 8x³ - 2x

To find :

Factorise the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 8x³ - 2x

Step 2 of 2 :

Factorise the expression

We use the formula

a² - b² = ( a + b ) ( a - b )

Thus we get

$\displaystyle \sf{ 8 {x}^{3} - 2x}$

$\displaystyle \sf{ = 2x(4 {x}^{2} - 1)}$

$\displaystyle \sf{ = 2x \{{(2x)}^{2} - {(1)}^{2} \}}$

$\displaystyle \sf{ = 2x (2x + 1)(2x - 1)}$

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