How do you factor this?

Question

8s^3-125t^6

Anonym · Accepted Answer

This is actually a difference of cubes:
(2s)^3 - (5t^2)^3
And we have a formula: (a^3 - b^3) = (a - b)(a^2 + ab + b^2)
where our a=2s and b=5t^2
(2s)^3 - (5t^2)^3 = (2s - 5t^2)( 4s^2 + 10st^2 + 25t^4)

? · Answer

This is a somewhat odd question, one choice would be
(2s)(2s)(2s) - (5t^2)(5t^2)(5t^2)

or
(2s)^3 - (5t^2)^3

you may need some clarification on what exactly is the goal here though, cause like has been said, this is somewhat non-standard

Anonym · Answer

By differences of cubes aÂ³ - bÂ³ = (a - b)(aÂ² + ab + bÂ²):

(2s)Â³ - (5tÂ²)Â³
==> (2s - 5tÂ²)((2s)Â² + (2s)(5t) + (5t)Â²)
==> (2s - 5tÂ²)(4sÂ² + 10st + 25tÂ²)

I hope this helps!

~Tsugara

How do you factor this?

3 Antworten