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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(3 a + b) (3 a - b)

3 r^{4 (5 r^{2} - r + 4)}

\frac{e ^{3 x - 1} ( 3 x ^{2} + 7 x - 3 )}{2 x ^{2} ( x + 3 ) ^{2}}

12 x^{2.5} (2 x^{3.5} \times 3 x^{2})

lo g_{10} (10) \frac{y}{2}

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