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(1/a-2) + (a+3/ (a-2) (a+2))
1((a-2)(a+2) + (a+3)(a-2) / (a-2)(a+2)
a^2 - 4 + a^2 + a -6 / (a-2)(a+2)
2a^2 + a - 10 / (a-2)(a+2)
(a - 2)(2a + 5) / (a-2)(a+2)
2a+5/ a+2