What is expand (24sin(x)+6sin(2x))^2 ?

The solution to expand (24sin(x)+6sin(2x))^2 is 576sin^2(x)+288sin(x)sin(2x)+36sin^2(2x)

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expand (24sin(x)+6sin(2x))^2

expand

(24 sin (x) + 6 sin (2 x))^{2}

576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

Solution steps

(24 sin (x) + 6 sin (2 x))^{2}

Apply Perfect Square Formula:

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

(24 sin (x) + 6 sin (2 x))^{2} = (24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2}

= (24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2}

Simplify

(24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2} : 576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

= 576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

\frac{d}{d q} ((c) (0.2 q^{2} + 2 q + 500))

(y = 2 - x) (0.5)

(- 4, - 5) y (6, - 1)

\frac{- 7 x ^{8} + 9}{( x ^{8} + 9 ) ^{2}}

a (e + 2 d)^{3} + b (e + 2 d)^{3} + c

What is expand (24sin(x)+6sin(2x))^2 ?
The solution to expand (24sin(x)+6sin(2x))^2 is 576sin^2(x)+288sin(x)sin(2x)+36sin^2(2x)