How do you simplify $x^2 + 6xy + 5y^2 div x^2 - y^2$ ?

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Answer 1 · 2016-06-07T21:01:14

$(x + 5 y)/(x - y)$

$(x^2 + 6 x y + 5 y^2) = (x+y)(x+5y)$

and

$(x^2 - y^2) = (x+y)(x-y)$

then

$(x^2 + 6 x y + 5 y^2) / (x^2 - y^2)=((x+y)(x+5y))/((x+y)(x-y))=(x + 5 y)/(x - y)$

How do you simplify x^2 + 6xy + 5y^2 div x^2 - y^2x^2 + 6xy + 5y^2 div x^2 - y^2?