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

The solution to expand (2sec(x)-1)^2 is 4sec^2(x)-4sec(x)+1

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expand (2sec(x)-1)^2

expand

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

4 sec^{2} (x) - 4 sec (x) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 sec (x))^{2} - 2 \cdot 2 sec (x) \cdot 1 + 1^{2} : 4 sec^{2} (x) - 4 sec (x) + 1

= 4 sec^{2} (x) - 4 sec (x) + 1

\frac{2}{( 4 n - 3 ) ( 4 n + 1 )}

e^{x} (x^{2} + 5 x + 6)

2 (x - \frac{1}{3}) (x - \frac{1}{5})

\frac{d ^{2}}{d x ^{2}} ((y) (x^{2} + 2 y^{2}))

(\frac{a - b}{2.4} + 0.5 c) \cdot 4.8

What is expand (2sec(x)-1)^2 ?
The solution to expand (2sec(x)-1)^2 is 4sec^2(x)-4sec(x)+1