What is expand-(2sec^2(x))/((1+tan(x))^3) ?

The solution to expand-(2sec^2(x))/((1+tan(x))^3) is -(2sec^2(x))/(1+3tan(x)+3tan^2(x)+tan^3(x))

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expand-(2sec^2(x))/((1+tan(x))^3)

expand

- \frac{2 sec ^{2} ( x )}{( 1 + tan ( x ) ) ^{3}}

- \frac{2 sec ^{2} ( x )}{1 + 3 tan ( x ) + 3 tan ^{2} ( x ) + tan ^{3} ( x )}

Solution steps

- \frac{2 sec ^{2} ( x )}{( 1 + tan ( x ) ) ^{3}}

(1 + tan (x))^{3} = 1 + 3 tan (x) + 3 tan^{2} (x) + tan^{3} (x)

= - \frac{2 sec ^{2} ( x )}{tan ^{3} ( x ) + 3 tan ^{2} ( x ) + 3 tan ( x ) + 1}

(v y - y) (v d y + y d v)

\frac{4 !}{3 ! \cdot ( 1 - ( 1 - x ) ) ^{3} \cdot ( 1 - ( 1 - x ) ) ^{1}}

(\frac{1}{6} d - \frac{1}{3} q)^{2}

\frac{( 0.5 + x ) ( 0.4 + x )}{( 0.5 - x ) ( 0.45 - x )}

What is expand-(2sec^2(x))/((1+tan(x))^3) ?
The solution to expand-(2sec^2(x))/((1+tan(x))^3) is -(2sec^2(x))/(1+3tan(x)+3tan^2(x)+tan^3(x))