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

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

Popular >

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

expand

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

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

Solution steps

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

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

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

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

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

Expand

(y^{2} + 2 y x + x^{2}) (x^{2} - 2 x y + y^{2}) : y^{4} - 2 y^{2} x^{2} + x^{4}

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

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

4 (y^{4} + 3 y^{2}) + 1

(s + 2)^{2} (s^{2} + 4 s + 4)

\frac{1 - 2 t}{s ^{2} ( s ^{2} + s + 4 )}

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