Posted by whitney on Tuesday, February 28, 2012 at 1:06pm.
a^2 - 36 = (a+6)(a-6)
a^2 + 5a - 6 = (a+1)(a-6)
So, the LCD = (a+6)(a-6)(a+1)
to add them ,you'd do
a/(a+6)(a-6) + 2a/(a+1)(a-6)
= a(a+1)/(a+6)(a-6)(a+1) + 2a(a+6)/(a+6)(a-6)(a+1)
= (a^2 + a + 2a^2 + 12a)/(a+6)(a-6)(a+1)
= (3a^2 + 13a)/(a+6)(a-6)(a+1)
= a(3a+13)/(a+6)(a-6)(a+1)
= a(3a+13)/(a^3+a^2-36a-36)
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