simplify polynomial

Apr 2010
135
0
hello how would i simplify this fraction

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

mr fantastic

MHF Hall of Fame
Dec 2007
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6,768
Zeitgeist
hello how would i simplify this fraction

\(\displaystyle \frac {(x^4-y^4)}{(x-y)}\)
Start by noting that \(\displaystyle x^4 - y^4 = (x^2)^2 - (y^2)^2 = (x^2 - y^2)(x^2 + y^2) = .... \)
 
Apr 2010
135
0
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
Dec 2007
16,948
6,768
Zeitgeist
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 ....