What is expand (2-rcos(θ))^2 ?

The solution to expand (2-rcos(θ))^2 is 4-4rcos(θ)+r^2cos^2(θ)

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expand (2-rcos(θ))^2

expand

(2 - r cos (θ))^{2}

4 - 4 r cos (θ) + r^{2} cos^{2} (θ)

Solution steps

(2 - r cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 r cos (θ) + (r cos (θ))^{2} : 4 - 4 r cos (θ) + r^{2} cos^{2} (θ)

= 4 - 4 r cos (θ) + r^{2} cos^{2} (θ)

6.46 + i (x + 1.71)

(\frac{1}{6} + \frac{5}{6})^{5}

c (x + 3 y - \frac{2 a}{3}) (x - 3 y - \frac{2 a}{3}) (x + \frac{a}{3})

\frac{1}{4} (- 3 (3 + 2 x) + 11 ln (3 + 2 x)) + c

(x^{2} - 9) (x + 5)

What is expand (2-rcos(θ))^2 ?
The solution to expand (2-rcos(θ))^2 is 4-4rcos(θ)+r^2cos^2(θ)