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

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

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expand (1+tan(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

1^{2} + 2 \cdot 1 \cdot tan (x) + tan^{2} (x) : 1 + 2 tan (x) + tan^{2} (x)

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

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

cos (x) (csc (x) - sec (x)) - cot (x)

\frac{n ( n + 1 )}{2}

(x + y) (x - y)

(e^{x} - 1)^{2}

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