Question 409401


does {{{(x^2-y^2)(x^2+y^2)}}} express a completely factored form for {{{x^4-y^4}}}?

answer: yes

here is why:

{{{x^4-y^4}}}......using "power of power" rule, you can write this expression as:

{{{(x^2)^2 -(y^2)^2}}}........now you got the difference of squares and you use the "difference of squares" formula which gives you {{{(x^2-y^2)(x^2+y^2)}}}