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Mathematics 26 Online
OpenStudy (anonymous):

Hi! I was wondering if someone could help me solve ((a^2)/(a-b))+((b^2)/(b-a))

OpenStudy (anonymous):

I know I need a common denominator

OpenStudy (anonymous):

denominator = (a-b)(b-a)

OpenStudy (anonymous):

a-b is the opposite of b-a, try it with numbers

OpenStudy (anonymous):

So I would multiply a2 by (b-a) and b2 with (a-b)?

OpenStudy (anonymous):

...so you have a common denominator if you multiply one of them by -1

OpenStudy (anonymous):

a^2/(a-b) - b^2/(a-b)

OpenStudy (anonymous):

yes marie

OpenStudy (anonymous):

(a^2 - b^2)/(a-b)

OpenStudy (anonymous):

...then difference of squares

OpenStudy (anonymous):

... in the numerator

OpenStudy (anonymous):

...cancels with denominator

OpenStudy (anonymous):

...leaving...

OpenStudy (anonymous):

I see it now!

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