Question

Factor completely

8x^3-27

please give explanation.

Answer 1

(a-b)(a^2 + ab + b^2)

(2x - 3)(4x^2 + 6x + 9)

Answer 2

Im confused as to how you got the 2x

Answer 3

8x^3-27
= (2x)^3 - (3)^3

Now using the identity a^3 - b^3 = (a - b) (a^2 + ab + b^2)
(2x)^3 - (3)^3 = (2x - 3)[(2x)^2 + (2x)(3) + (3)^2]
= (2x - 3) (4x^2 + 6x + 9)

Answer 4

Is everything clear now..???

Answer 5

yes thank you

Answer 6

How can you identify when you need to use this equation? and what you did in the beginning was use the cubed squared function right?