Question

Factor by using the difference of two cubes
(2x)³- 8 ​

Answer 1

`(2x + 2)( {4x}^(2) - 4x + 4)`

Solution,

`{(2x)}^(3) - 8 \\`

`( {2x)}^(3) - {(2)}^(3)`

Use the formula:

`{a}^(3) - {b}^(3) = (a + b)( {a}^(2) - ab + {b}^(2) )`

now,

`(2x + 2)( {(2x)}^(2) - 2x * 2 + {(2)}^(2) )`

`(2x + 2)( {4x}^(2) - 4x + 4)`

Hope this helps...

Good luck on your assignment...