What is expand (4+4sin(x))^2 ?

The solution to expand (4+4sin(x))^2 is 16+32sin(x)+16sin^2(x)

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expand (4+4sin(x))^2

expand

(4 + 4 sin (x))^{2}

16 + 32 sin (x) + 16 sin^{2} (x)

Solution steps

(4 + 4 sin (x))^{2}

Apply Perfect Square Formula:

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

(4 + 4 sin (x))^{2} = 4^{2} + 2 \cdot 4 \cdot 4 sin (x) + (4 sin (x))^{2}

= 4^{2} + 2 \cdot 4 \cdot 4 sin (x) + (4 sin (x))^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 4 sin (x) + (4 sin (x))^{2} : 16 + 32 sin (x) + 16 sin^{2} (x)

= 16 + 32 sin (x) + 16 sin^{2} (x)

(x - 2 i)^{3}

\frac{x}{s ^{2} ( s + 1 )}

(2 x^{2} t - 2 x^{3}) d t + (4 x^{3} - 6 x^{2} t + 2 x t^{2}) d x

\frac{e ^{- 3 s} ( 9 s ^{2} + 2 ( 3 s + 1 ) )}{s ^{3}}

f (x) (5 - x) e^{x}

What is expand (4+4sin(x))^2 ?
The solution to expand (4+4sin(x))^2 is 16+32sin(x)+16sin^2(x)