What is expand (7+cos(θ))^2 ?

The solution to expand (7+cos(θ))^2 is 49+14cos(θ)+cos^2(θ)

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expand (7+cos(θ))^2

expand

(7 + cos (θ))^{2}

49 + 14 cos (θ) + cos^{2} (θ)

Solution steps

(7 + cos (θ))^{2}

Apply Perfect Square Formula:

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

(7 + cos (θ))^{2} = 7^{2} + 2 \cdot 7 cos (θ) + cos^{2} (θ)

= 7^{2} + 2 \cdot 7 cos (θ) + cos^{2} (θ)

Simplify

7^{2} + 2 \cdot 7 cos (θ) + cos^{2} (θ) : 49 + 14 cos (θ) + cos^{2} (θ)

= 49 + 14 cos (θ) + cos^{2} (θ)

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What is expand (7+cos(θ))^2 ?
The solution to expand (7+cos(θ))^2 is 49+14cos(θ)+cos^2(θ)