You can put this solution on YOUR website! ((a+3) / (a-5)) + ((a-2) / (a+4))
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common denominator is (a-5)(a+4)
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((a+4)(a+3)) + ((a-2)(a-5)) / ((a-5)(a+4))
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let's work on the numerator
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(a^2+7a+12 + (a^2-7a+10) = 2a^2+22 = 2(a^2+11)
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therefore we have
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2(a^2+11) / ((a-5)(a+4))
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