SOLUTION: a+3 a-2 ___ + ____ a-5 a+4 Perform the indicated operations. Help please and thank you.

SOLUTION: a+3 a-2 _ + __ a-5 a+4 Perform the indicated operations. Help please and thank you.

Question 1030939: a+3 a-2
___ + ____
a-5 a+4 Perform the indicated operations. Help please and thank you.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
((a+3) / (a-5)) + ((a-2) / (a+4))
:
common denominator is (a-5)(a+4)
:
((a+4)(a+3)) + ((a-2)(a-5)) / ((a-5)(a+4))
:
let's work on the numerator
:
(a^2+7a+12 + (a^2-7a+10) = 2a^2+22 = 2(a^2+11)
:
therefore we have
:
2(a^2+11) / ((a-5)(a+4))
:

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