What is expand (rcos(θ)-2)^2 ?

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

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expand (rcos(θ)-2)^2

expand

(r cos (θ) - 2)^{2}

r^{2} cos^{2} (θ) - 4 r cos (θ) + 4

Solution steps

(r cos (θ) - 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= r^{2} cos^{2} (θ) - 4 r cos (θ) + 4

x^{2} (2 x + \frac{5}{x})

\frac{\partial}{\partial x} ((z) (x^{3} + y^{3} + z^{3}))

t (x) x^{^{''}} + (2 t (x) - 2) x^{^{'}} + 2 x

\frac{10 ( x + 4 ) ( x + 6 )}{x ( x + 1 ) ( x + 7 ) ( x + 8 ) ( x + 9 )}

(3 x + 2 i x)^{2}

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