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Please help with 12. Simplify.

Please help with 12. Simplify.-example-1
User Berenbums
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1 Answer

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\frac 1{x+y} + (3)/(x-y) + (2)/(x^2-y^2) \\\\\\=\frac 1{x+y} + (3)/(x-y) + (2)/((x+y)(x-y))\\ \\\\=(x-y+3(x+y)+2)/((x+y)(x-y))\\\\\\=(x-y+3x+3y+2)/((x+y)(x-y))\\\\\\=(4x+2y+2)/((x+y)(x-y))\\\\\\=(2(2x+y+1))/((x+y)(x-y))

User Jesse Carter
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