Question

(х+у)^2/х^2 +ху + (х-у)^2/ х^2-ху +7

Answer 1

$frac{(x+y) ^{2} }{ x^{2} } +xy+ frac{ (x-y)^{2} }{ x^{2} } -xy+7= frac{(x+y) ^{2}+ x^{3} y +(x-y) ^{2} - x^{3} y+7 x^{2} }{ x^{2} } = frac{(x+y) ^{2}+(x-y) ^{2} +7 x^{2} }{ x^{2} } = frac{ x^{2}+ y^{2} +2xy+ x^{2} + y^{2} -2xy+7 x^{2} }{ x^{2} } = frac{11 x^{2} +4 y^{2} }{ x^{2} }$