What is expand (a+acos(θ))^3 ?

The solution to expand (a+acos(θ))^3 is a^3+3a^3cos(θ)+3a^3cos^2(θ)+a^3cos^3(θ)

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expand (a+acos(θ))^3

expand

(a + a cos (θ))^{3}

a^{3} + 3 a^{3} cos (θ) + 3 a^{3} cos^{2} (θ) + a^{3} cos^{3} (θ)

Solution steps

(a + a cos (θ))^{3}

Apply Perfect Cube Formula:

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

(a + a cos (θ))^{3} = a^{3} + 3 a^{2} a cos (θ) + 3 a (a cos (θ))^{2} + (a cos (θ))^{3}

= a^{3} + 3 a^{2} a cos (θ) + 3 a (a cos (θ))^{2} + (a cos (θ))^{3}

Simplify

a^{3} + 3 a^{2} a cos (θ) + 3 a (a cos (θ))^{2} + (a cos (θ))^{3} : a^{3} + 3 a^{3} cos (θ) + 3 a^{3} cos^{2} (θ) + a^{3} cos^{3} (θ)

= a^{3} + 3 a^{3} cos (θ) + 3 a^{3} cos^{2} (θ) + a^{3} cos^{3} (θ)

\frac{2000 ( - x ^{2} + 64 )}{( x ^{2} + 64 ) ^{2}}

A (- 2, 0) B (5, - 5) C (3, 7)

16 π 14 (- z^{2} + 81)

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

\frac{( 2 - y ^{2} ) ^{2}}{8}

What is expand (a+acos(θ))^3 ?
The solution to expand (a+acos(θ))^3 is a^3+3a^3cos(θ)+3a^3cos^2(θ)+a^3cos^3(θ)