Question

$$\frac{ 2x+y }{ { x }^{ 2 } +3xy+2 { y }^{ 2 } } - \frac{ x-4y }{ { x }^{ 2 } -4xy+3 { y }^{ 2 } } - \frac{ x-7y }{ { x }^{ 2 } -5xy+6 { y }^{ 2 } }$$

Evaluate

$\frac{3y\left(13yx^{2}-12y^{3}-6xy^{2}-x^{3}\right)}{\left(x-3y\right)\left(x^{2}-4y^{2}\right)\left(x^{2}-y^{2}\right)}$

Expand

$\frac{3\left(6xy^{3}+12y^{4}+yx^{3}-13\left(xy\right)^{2}\right)}{\left(y-x\right)\left(x^{2}-5xy+6y^{2}\right)\left(x^{2}+3xy+2y^{2}\right)}$