What is expand 7(1+6sin(θ))^2 ?

The solution to expand 7(1+6sin(θ))^2 is 7+84sin(θ)+252sin^2(θ)

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expand 7(1+6sin(θ))^2

expand

7 (1 + 6 sin (θ))^{2}

7 + 84 sin (θ) + 252 sin^{2} (θ)

Solution steps

7 (1 + 6 sin (θ))^{2}

Expand

(1 + 6 sin (θ))^{2} : 1 + 12 sin (θ) + 36 sin^{2} (θ)

= 7 (1 + 12 sin (θ) + 36 sin^{2} (θ))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

7 (1 + 12 sin (θ) + 36 sin^{2} (θ)) = 7 \cdot 1 + 7 \cdot 12 sin (θ) + 7 \cdot 36 sin^{2} (θ)

= 7 \cdot 1 + 7 \cdot 12 sin (θ) + 7 \cdot 36 sin^{2} (θ)

Simplify

7 \cdot 1 + 7 \cdot 12 sin (θ) + 7 \cdot 36 sin^{2} (θ) : 7 + 84 sin (θ) + 252 sin^{2} (θ)

= 7 + 84 sin (θ) + 252 sin^{2} (θ)

\frac{( 10 - 3 x ) ( x + 1 )}{5}

10 (A \cdot cos (5 x) - A \cdot sin (5 x))

e^{(- 2 + i 25) \cdot 0.01}

\frac{d y ^{3}}{d ^{3} x} (y = cos (x) - ln (2 x))

lo g_{9} (x + 3) (x - 5)

What is expand 7(1+6sin(θ))^2 ?
The solution to expand 7(1+6sin(θ))^2 is 7+84sin(θ)+252sin^2(θ)