What is expand (3-cos(x))^2 ?

The solution to expand (3-cos(x))^2 is 9-6cos(x)+cos^2(x)

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expand (3-cos(x))^2

expand

(3 - cos (x))^{2}

9 - 6 cos (x) + cos^{2} (x)

Solution steps

(3 - cos (x))^{2}

Apply Perfect Square Formula:

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

(3 - cos (x))^{2} = 3^{2} - 2 \cdot 3 cos (x) + cos^{2} (x)

= 3^{2} - 2 \cdot 3 cos (x) + cos^{2} (x)

Simplify

3^{2} - 2 \cdot 3 cos (x) + cos^{2} (x) : 9 - 6 cos (x) + cos^{2} (x)

= 9 - 6 cos (x) + cos^{2} (x)

(x - 3 + 1)^{2}

\frac{( 4 x + 9 ) ^{\frac{3}{2}} - 27}{6}

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

\frac{36 x}{( 9 - x ^{2} ) ^{2}}

(- b + b^{2} + 4 a c)^{2}

What is expand (3-cos(x))^2 ?
The solution to expand (3-cos(x))^2 is 9-6cos(x)+cos^2(x)