Question

1)6x+y/x-6y + 6x-y/x+6y


2)x^2+y^2/x^2-36y^2

Answer 1

$\displaystyle\bf\\1)\\\\\frac{6x+y}{x-6y} +\frac{6x-y}{x+6y} =\frac{(6x+y)\cdot(x+6y)+(6x-y)\cdot(x-6y)}{(x-6y)(x+6y)} =\\\\\\=\frac{6x^{2} +36xy+xy+6y^{2} +6x^{2} -36xy-xy+6y^{2} }{(x-6y)(x+6y)} =\\\\\\=\frac{12x^{2} +12y^{2} }{x^{2} -36y^{2} } =\frac{12(x^{2} +y^{2} )}{x^{2} -36y^{2} }$