What is (x+2sqrt(x))^2 ?

The solution to (x+2sqrt(x))^2 is x^2+4xsqrt(x)+4x

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simplify (x+2sqrt(x))^2

simplify

(x + 2 x)^{2}

x^{2} + 4 x x + 4 x

Solution steps

(x + 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

2 x \cdot 2 x = 4 x x

(2 x)^{2} = 4 x

= x^{2} + 4 x x + 4 x

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

(t^{2} + 4 t + 4) \cdot (2^{\frac{1}{2}} (t + 2))

\frac{( k + 1 ) ( k + 2 ) ( k + 3 )}{6}

(p + \frac{a}{v ^{2}}) (v - b)

cos ((5 - n) π)