factoring a large polynomial

**alaricepent** · October 29th 2008, 05:54 PM

In completely factored form

$a^2x^2-b^2y^2+b^2x^2-a^2y^2$

is.......

a) $(a-b)(a+b)(x^2+y^2)$
b) $(a^2+b^2)(x^2-y^2)$
c) $(a^2-b^2)(x^2+y^2)$
d) $(a+b)(x-y)$
e) $(a^2+b^2)(x+y)(x-y)$

what would be the answer?

HELP!!

**Shyam** · October 29th 2008, 06:38 PM

Originally Posted by alaricepent

In completely factored form

$a^2x^2-b^2y^2+b^2x^2-a^2y^2$

is.......

a) $(a-b)(a+b)(x^2+y^2)$
b) $(a^2+b^2)(x^2-y^2)$
c) $(a^2-b^2)(x^2+y^2)$
d) $(a+b)(x-y)$
e) $(a^2+b^2)(x+y)(x-y)$

what would be the answer?

HELP!!

$a^2x^2-b^2y^2+b^2x^2-a^2y^2$

$=a^2x^2+b^2x^2-a^2y^2-b^2y^2$

$=x^2(a^2+b^2)-y^2(a^2+b^2)$

$=(a^2+b^2)(x^2-y^2)$

$=(a^2+b^2)(x+y)(x-y)$

Did you get it now???

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