Thread: basic factoring problems

factor completely

$\displaystyle (c-d)^2-e^2$
$\displaystyle m^2-(n-1)^2$
$\displaystyle x^4-1$

wow i am so stupid i completely forgot $\displaystyle a^2-b^2$

you just need to know that

$\displaystyle a^2 - b^2 = (a-b)(a+b) $

for example last one

$\displaystyle x^4 -1 = (x^2 -1 )( x^2 +1 ) = (x-1)(x+1)(x^2+1) $