What is expand (2x^2+2xy-2y^2)/((2x+y)^2) ?

The solution to expand (2x^2+2xy-2y^2)/((2x+y)^2) is (2x^2+2xy-2y^2)/(4x^2+4xy+y^2)

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expand (2x^2+2xy-2y^2)/((2x+y)^2)

expand

\frac{2 x ^{2} + 2 x y - 2 y ^{2}}{( 2 x + y ) ^{2}}

\frac{2 x ^{2} + 2 x y - 2 y ^{2}}{4 x ^{2} + 4 x y + y ^{2}}

Solution steps

\frac{2 x ^{2} + 2 x y - 2 y ^{2}}{( 2 x + y ) ^{2}}

(2 x + y)^{2} = 4 x^{2} + 4 x y + y^{2}

= \frac{2 x ^{2} + 2 x y - 2 y ^{2}}{4 x ^{2} + 4 x y + y ^{2}}

\frac{( 2 x + 3 )}{( x - 5 ) ( x + 4 )}

z [(n - 1) a^{n - 1}]

(2 - x) e^{x} + 2

\frac{( 1 - x - y ) ^{3}}{3}

\frac{1}{2 sin ( \frac{1}{2} ( θ + \frac{π}{6} ) ) + 1}

What is expand (2x^2+2xy-2y^2)/((2x+y)^2) ?
The solution to expand (2x^2+2xy-2y^2)/((2x+y)^2) is (2x^2+2xy-2y^2)/(4x^2+4xy+y^2)