What is expand (6+12sin(θ))^2 ?

The solution to expand (6+12sin(θ))^2 is 36+144sin(θ)+144sin^2(θ)

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expand (6+12sin(θ))^2

expand

(6 + 12 sin (θ))^{2}

36 + 144 sin (θ) + 144 sin^{2} (θ)

Solution steps

(6 + 12 sin (θ))^{2}

Apply Perfect Square Formula:

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

(6 + 12 sin (θ))^{2} = 6^{2} + 2 \cdot 6 \cdot 12 sin (θ) + (12 sin (θ))^{2}

= 6^{2} + 2 \cdot 6 \cdot 12 sin (θ) + (12 sin (θ))^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 12 sin (θ) + (12 sin (θ))^{2} : 36 + 144 sin (θ) + 144 sin^{2} (θ)

= 36 + 144 sin (θ) + 144 sin^{2} (θ)

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

- \frac{( 30 - 12 + 18 )}{( - 3 )}

(e^{- x} + 2 x)^{2}

e^{(l n (x) - a)^{2}}

\frac{k ^{2} ( k + 1 ) ^{2}}{4} + (k + 1)

What is expand (6+12sin(θ))^2 ?
The solution to expand (6+12sin(θ))^2 is 36+144sin(θ)+144sin^2(θ)