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

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

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expand (sin(x)+1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{6 x}{( x ^{2} + 3 ) ^{2}}

(\frac{n ( n + 1 )}{2})^{2}

(- 1 - i)^{5}

(1 + i)^{25}

(3 + x)^{2}

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