What is expand (4-cos^2(t))^2 ?

The solution to expand (4-cos^2(t))^2 is 16-8cos^2(t)+cos^4(t)

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expand (4-cos^2(t))^2

expand

(4 - cos^{2} (t))^{2}

16 - 8 cos^{2} (t) + cos^{4} (t)

Solution steps

(4 - cos^{2} (t))^{2}

Apply Perfect Square Formula:

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

(4 - cos^{2} (t))^{2} = 4^{2} - 2 \cdot 4 cos^{2} (t) + (cos^{2} (t))^{2}

= 4^{2} - 2 \cdot 4 cos^{2} (t) + (cos^{2} (t))^{2}

Simplify

4^{2} - 2 \cdot 4 cos^{2} (t) + (cos^{2} (t))^{2} : 16 - 8 cos^{2} (t) + cos^{4} (t)

= 16 - 8 cos^{2} (t) + cos^{4} (t)

\frac{d}{d t} ((x) (1 + t))

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

(x - a) (x - b) (x - c) (x - d) (x - e)

\frac{1}{2 k ( 4 - 8 k + 20 k ^{2} )}

(2 (x + 1))!

What is expand (4-cos^2(t))^2 ?
The solution to expand (4-cos^2(t))^2 is 16-8cos^2(t)+cos^4(t)