Question

Factor 8x^3 - 125

Answer 1

how should we reduce this from here?

Answer 2

(2x + 5) (4x^2+10x-25)?

Answer 3

u wot m8?

Answer 4

you never finished the other question

Answer 5

Well is this one right?

Answer 6

that is not how you simplify 8x^3=125

Answer 7

I mean factor.

Answer 8

So then am I right?

Answer 9

your correct except for the fact that it should be (2x+5)(4x^2+10x-25)

Answer 10

Thanks.

Answer 11

\[\Huge 8x^3 - 125 = (2x)^3 - (5)^3\]
\[= (2x - 5)[(2x)^2+2x \times 5 + (5)^2]\]
\[\huge = (2x - 5)[4x^2+10x + 25]\] is the required factor.


Formula used:
\[\huge (a^3 - b^3) = (a - b) (a^2 + ab + b^2) \]