What is expand (1+2sin(x))^2 ?

The solution to expand (1+2sin(x))^2 is 1+4sin(x)+4sin^2(x)

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expand (1+2sin(x))^2

expand

(1 + 2 sin (x))^{2}

1 + 4 sin (x) + 4 sin^{2} (x)

Solution steps

(1 + 2 sin (x))^{2}

Apply Perfect Square Formula:

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

(1 + 2 sin (x))^{2} = 1^{2} + 2 \cdot 1 \cdot 2 sin (x) + (2 sin (x))^{2}

= 1^{2} + 2 \cdot 1 \cdot 2 sin (x) + (2 sin (x))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 2 sin (x) + (2 sin (x))^{2} : 1 + 4 sin (x) + 4 sin^{2} (x)

= 1 + 4 sin (x) + 4 sin^{2} (x)

\frac{6 e ^{x} ( - e ^{x} + 6 )}{( 6 + e ^{x} ) ^{3}}

(2, 1 + i, i) (2 - i, 2, 1 + 2 i)

- \frac{2 ( 2 x - 1 )}{3 ( x ^{2} - x ) ^{\frac{1}{3}}}

(x^{- 1})^{2}

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

What is expand (1+2sin(x))^2 ?
The solution to expand (1+2sin(x))^2 is 1+4sin(x)+4sin^2(x)