What is expand (2+xcos(θ))^2 ?

The solution to expand (2+xcos(θ))^2 is 4+4xcos(θ)+x^2cos^2(θ)

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expand (2+xcos(θ))^2

expand

(2 + x cos (θ))^{2}

4 + 4 x cos (θ) + x^{2} cos^{2} (θ)

Solution steps

(2 + x cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 4 + 4 x cos (θ) + x^{2} cos^{2} (θ)

\frac{x ^{3}}{( x ^{4} + 6 ) ^{5}}

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

\frac{x ^{2} + 4 x - 96}{x ^{2} + 6 x - 72}

- \frac{5 ( n + 1 )}{2 n ^{3}}

(1 + 5 cos (t))^{2}

What is expand (2+xcos(θ))^2 ?
The solution to expand (2+xcos(θ))^2 is 4+4xcos(θ)+x^2cos^2(θ)