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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{( 7 s - 31 )}{( ( s + 3 ) ( s + 4 ) )}

\frac{2 + 1}{( 2 - 1 ) ^{5}}

\frac{s}{( s + 8 ) ^{2}}

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

\frac{1}{3 ( 5 a - 2 b )}

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