What is expand (x^2+6xy^2-5x^2y)/((x^2+y)^2) ?

The solution to expand (x^2+6xy^2-5x^2y)/((x^2+y)^2) is (x^2+6xy^2-5x^2y)/(x^4+2x^2y+y^2)

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expand (x^2+6xy^2-5x^2y)/((x^2+y)^2)

expand

\frac{x ^{2} + 6 x y ^{2} - 5 x ^{2} y}{( x ^{2} + y ) ^{2}}

\frac{x ^{2} + 6 x y ^{2} - 5 x ^{2} y}{x ^{4} + 2 x ^{2} y + y ^{2}}

Solution steps

\frac{x ^{2} + 6 x y ^{2} - 5 x ^{2} y}{( x ^{2} + y ) ^{2}}

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

= \frac{x ^{2} + 6 x y ^{2} - 5 x ^{2} y}{x ^{4} + 2 x ^{2} y + y ^{2}}

\frac{π ( - ln ( 2 6 + 5 ) + 490 6 )}{32}

\frac{x ^{2}}{( x - 2 ) ( x - 1 )}

\frac{( a + b ) ^{2}}{a - b}

7 (9 f (t) + 10) + 2 f^{'} (t)

so l v e (s^{5} + 13 s^{4} + 54 s^{3} + 82 s^{2} + 95 s + 105)

What is expand (x^2+6xy^2-5x^2y)/((x^2+y)^2) ?
The solution to expand (x^2+6xy^2-5x^2y)/((x^2+y)^2) is (x^2+6xy^2-5x^2y)/(x^4+2x^2y+y^2)