# simplify polynomial

#### sigma1

hello how would i simplify this fraction

$$\displaystyle \frac {(x^4-y^4)}{(x-y)}$$

#### mr fantastic

MHF Hall of Fame
hello how would i simplify this fraction

$$\displaystyle \frac {(x^4-y^4)}{(x-y)}$$
Start by noting that $$\displaystyle x^4 - y^4 = (x^2)^2 - (y^2)^2 = (x^2 - y^2)(x^2 + y^2) = ....$$

#### sigma1

ok now that i have seen that would you proceed to do some cancellation to get rid of the denominator? can u show me by demonstration with this example?

#### mr fantastic

MHF Hall of Fame
ok now that i have seen that would you proceed to do some cancellation to get rid of the denominator? can u show me by demonstration with this example?
I'm expecting you to finish the factorising I started and then do the cancelling yourself ....