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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(\frac{2}{3} x - \frac{3}{5} y) (\frac{2}{3} x + \frac{3}{5} y)

(1 - cos (t))^{2} + (sin (t))^{2}

\frac{s ^{2} + 6 s + 12}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

\frac{d ^{2}}{d x ^{2}} ((y) (3 x - 2)^{4})

(2 y^{2} + \frac{1}{y})^{9}

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