What is expand (1-rcos(θ))^2 ?

The solution to expand (1-rcos(θ))^2 is 1-2rcos(θ)+r^2cos^2(θ)

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expand (1-rcos(θ))^2

expand

(1 - r cos (θ))^{2}

1 - 2 r cos (θ) + r^{2} cos^{2} (θ)

Solution steps

(1 - r cos (θ))^{2}

Apply Perfect Square Formula:

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

(1 - r cos (θ))^{2} = 1^{2} - 2 \cdot 1 \cdot r cos (θ) + (r cos (θ))^{2}

= 1^{2} - 2 \cdot 1 \cdot r cos (θ) + (r cos (θ))^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot r cos (θ) + (r cos (θ))^{2} : 1 - 2 r cos (θ) + r^{2} cos^{2} (θ)

= 1 - 2 r cos (θ) + r^{2} cos^{2} (θ)

(y - 2)^{2}

3 (2 - 2)

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

x^{\frac{4}{5}} (x - 8)

(- 44 v, - 22 u, 0) \cdot (2 u, 2 v, 1)

What is expand (1-rcos(θ))^2 ?
The solution to expand (1-rcos(θ))^2 is 1-2rcos(θ)+r^2cos^2(θ)