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

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

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expand (1-tan(x))^2

expand

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

sec^{2} (x) - 2 tan (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) : sec^{2} (x) - 2 tan (x)

= sec^{2} (x) - 2 tan (x)

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

(1 - 3 i)^{4}

\frac{2 x + 1}{( x - 1 ) ( 2 x ^{3} + 6 x ^{2} - x + 4 )}

(x - i y)^{3}

(x + 5) (x - 5)

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