What is expand (3+cos(θ))^3 ?

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

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expand (3+cos(θ))^3

expand

(3 + cos (θ))^{3}

27 + 27 cos (θ) + 9 cos^{2} (θ) + cos^{3} (θ)

Solution steps

(3 + cos (θ))^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 27 + 27 cos (θ) + 9 cos^{2} (θ) + cos^{3} (θ)

\frac{d ^{2}}{d y ^{2}} ((S) (3 - \frac{147}{y ^{2}}))

(4 x^{2} + 5 x + 5)^{5}

((1 - i) e^{- \frac{i wt}{2}} + (1 + i) e^{\frac{i wt}{2}})^{2}

(45 x^{2} + 26 x^{2})^{2}

x (- \frac{x}{32} + 400)

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