What is expand (9+cos(θ))^3 ?

The solution to expand (9+cos(θ))^3 is 729+243cos(θ)+27cos^2(θ)+cos^3(θ)

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expand (9+cos(θ))^3

expand

(9 + cos (θ))^{3}

729 + 243 cos (θ) + 27 cos^{2} (θ) + cos^{3} (θ)

Solution steps

(9 + cos (θ))^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(9 + cos (θ))^{3} = 9^{3} + 3 \cdot 9^{2} cos (θ) + 3 \cdot 9 cos^{2} (θ) + cos^{3} (θ)

= 9^{3} + 3 \cdot 9^{2} cos (θ) + 3 \cdot 9 cos^{2} (θ) + cos^{3} (θ)

Simplify

9^{3} + 3 \cdot 9^{2} cos (θ) + 3 \cdot 9 cos^{2} (θ) + cos^{3} (θ) : 729 + 243 cos (θ) + 27 cos^{2} (θ) + cos^{3} (θ)

= 729 + 243 cos (θ) + 27 cos^{2} (θ) + cos^{3} (θ)

\frac{( x + 2 )}{x ( x + 4 )}

\frac{10 ( 29 e ^{30} + 1 )}{3 e ^{30}}

\frac{( 3 x + 1 ) ^{3}}{( 2 x - 1 ) ^{2} x}

2 \cdot (\frac{5}{2} x + \frac{1}{2})

\frac{x ^{3} + 4}{( x ^{2} - 1 ) ( x ^{2} + 3 x + 2 )}

What is expand (9+cos(θ))^3 ?
The solution to expand (9+cos(θ))^3 is 729+243cos(θ)+27cos^2(θ)+cos^3(θ)