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

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

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

expand

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

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

Solution steps

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

(sec (x) + 1)^{2} = sec^{2} (x) + 2 sec (x) + 1

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

π (20 x + 4)^{2}

\frac{x ^{4} - 1}{x - 1}

\frac{v - 1}{( 3 v - 5 ) ( 5 v ^{2} + 4 v )}

\frac{f t}{x ( 4 x + 1 ) ( a x + b + ( 4 x + 3 ) )}

(1 + sin (x))^{3}

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