Question

need help with simplifying.

Answer 1

\[24uv ^{4}-3u ^{4}v\]

Answer 2

@mathmale

Answer 3

@heart_offire

Answer 4

Take out common like terms ya?

Answer 5

it don't make sense to me, there doesn't seem to be any common terms

Answer 6

Hint: 3, u and v are factors of both terms.

Answer 7

im supposed to revert it to its distributive form

Answer 8

but I don't see a way to do that since u and v both are to the fourth power.

Answer 9

Nope. Here's how to do it! Take out the common factors, which are 3, u and v!\[\Large 3uv(8v^3-u^3)\]

Answer 10

oh. thanks! completely missed that!

Answer 11

example:
u^2 - u

write that as
u*u - u
notice you can factor one u from each term:
u(u-1)

or "going backward" u(u-1) is u*u - u*1 or u^2 - u

Answer 12

You can even simplify further by noting that a^3 - b^3 = (a - b)(a^2 + ab + b^2)