What is expand (tan(β)-1)^2 ?

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

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expand (tan(β)-1)^2

expand

(tan (β) - 1)^{2}

sec^{2} (β) - 2 tan (β)

Solution steps

(tan (β) - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

tan^{2} (β) - 2 tan (β) \cdot 1 + 1^{2} : sec^{2} (β) - 2 tan (β)

= sec^{2} (β) - 2 tan (β)

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

(7 - 3 y^{2} y + y^{2})^{2}

\frac{1}{2} x^{\frac{1}{2}} - \frac{1}{2 x ^{\frac{1}{2}}}

\frac{1}{( x - 2 ) ( x + 1 )}

\frac{( 7 m ^{4} + n ) ^{3}}{343}

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