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

\frac{( y ^{3} ( 250 x y - 75 ) )}{( 5 x y - 1 ) ^{3}}

\frac{x ^{2} + 2 x y}{( x + y ) ^{2}}

e^{1 + t} u (- t + 2)

\frac{2 x ^{2} - 2 x - 4}{( 2 x - 1 ) ^{2}}

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