What is expand (14xy)/((x^2+y^2+1)^2) ?

The solution to expand (14xy)/((x^2+y^2+1)^2) is (14xy)/(2x^2y^2+x^4+2x^2+y^4+2y^2+1)

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expand (14xy)/((x^2+y^2+1)^2)

expand

\frac{14 x y}{( x ^{2} + y ^{2} + 1 ) ^{2}}

\frac{14 x y}{2 x ^{2} y ^{2} + x ^{4} + 2 x ^{2} + y ^{4} + 2 y ^{2} + 1}

Solution steps

\frac{14 x y}{( x ^{2} + y ^{2} + 1 ) ^{2}}

(x^{2} + y^{2} + 1)^{2} = 2 x^{2} y^{2} + x^{4} + 2 x^{2} + y^{4} + 2 y^{2} + 1

= \frac{14 x y}{2 x ^{2} y ^{2} + x ^{4} + 2 x ^{2} + y ^{4} + 2 y ^{2} + 1}

\frac{2 q - r - p}{( q - r ) ^{2}}

\frac{1}{( p - 1 ) ( p + 1 ) ( p + 2 )}

\frac{d x + u}{( x - v ) ^{2}}

\frac{8 s + 25}{( s + 2 ) ( s ^{3} + 25 s ^{2} - 128 s - 400 )}

\frac{- 9 x + 1}{x ( x - 7 )}

What is expand (14xy)/((x^2+y^2+1)^2) ?
The solution to expand (14xy)/((x^2+y^2+1)^2) is (14xy)/(2x^2y^2+x^4+2x^2+y^4+2y^2+1)