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

The solution to expand (1-sin^2(x))^2 is cos^4(x)

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

expand

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

cos^{4} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= cos^{4} (x)

(x - 4)^{4}

0.03 \cdot 1 (1. 2^{1})

(5 x^{2} - 4) (5 w^{2} - \frac{3}{2})

(x - 7) (x - 6)^{8} ln (\frac{x}{5})

\frac{3 ( y - x \frac{d y}{d x} )}{5 y ^{2}}

What is expand (1-sin^2(x))^2 ?
The solution to expand (1-sin^2(x))^2 is cos^4(x)