What is expand (10-4cos(θ))^2 ?

The solution to expand (10-4cos(θ))^2 is 100-80cos(θ)+16cos^2(θ)

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expand (10-4cos(θ))^2

expand

(10 - 4 cos (θ))^{2}

100 - 80 cos (θ) + 16 cos^{2} (θ)

Solution steps

(10 - 4 cos (θ))^{2}

Apply Perfect Square Formula:

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

(10 - 4 cos (θ))^{2} = 1 0^{2} - 2 \cdot 10 \cdot 4 cos (θ) + (4 cos (θ))^{2}

= 1 0^{2} - 2 \cdot 10 \cdot 4 cos (θ) + (4 cos (θ))^{2}

Simplify

1 0^{2} - 2 \cdot 10 \cdot 4 cos (θ) + (4 cos (θ))^{2} : 100 - 80 cos (θ) + 16 cos^{2} (θ)

= 100 - 80 cos (θ) + 16 cos^{2} (θ)

so l v e (x + 5) (x - 1)

e^{x - y} (x^{2} - 2 y^{2})

f (3 x - 5) (2 x + 1) d x

A e^{2 x} + e^{2 x} \cdot 2 (A x + B)

(- \frac{1}{2} (x - \frac{1}{2} sin (2 x))) (cos (x))

What is expand (10-4cos(θ))^2 ?
The solution to expand (10-4cos(θ))^2 is 100-80cos(θ)+16cos^2(θ)