What is expand (4ax)/((x+a)^2(x-a)^2) ?

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

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expand (4ax)/((x+a)^2(x-a)^2)

expand

\frac{4 a x}{( x + a ) ^{2} ( x - a ) ^{2}}

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

Solution steps

\frac{4 a x}{( x + a ) ^{2} ( x - a ) ^{2}}

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

= \frac{4 a x}{( x ^{2} + 2 a x + a ^{2} ) ( x - a ) ^{2}}

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

= \frac{4 a x}{( x ^{2} + 2 a x + a ^{2} ) ( x ^{2} - 2 a x + a ^{2} )}

Expand

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

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

\frac{( x - 7 ) ^{2} ( m x - 7 m )}{( x - 7 ) ^{3} + ( m x - 7 m ) ^{2}}

\frac{d}{d t} ((r (t, y, x)) (y + x cos (t)))

\frac{9}{x ( x + 6 )}

\frac{( 5 x - 5 )}{5} \cdot \frac{( x + 10 )}{( x - 1 )}

(π + 2) (2 - 1)

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