What is (3+2sqrt(x))^2 ?

The solution to (3+2sqrt(x))^2 is 9+12sqrt(x)+4x

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simplify (3+2sqrt(x))^2

simplify

(3 + 2 x)^{2}

9 + 12 x + 4 x

Solution steps

(3 + 2 x)^{2}

Apply Perfect Square Formula:

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

(3 + 2 x)^{2} = 3^{2} + 2 \cdot 3 \cdot 2 x + (2 x)^{2}

= 3^{2} + 2 \cdot 3 \cdot 2 x + (2 x)^{2}

3^{2} = 9

2 \cdot 3 \cdot 2 x = 12 x

(2 x)^{2} = 4 x

= 9 + 12 x + 4 x

(e^{x} + e^{- x})^{3}

(sin (x) - cos (x)) (2 π)

Dy (3 x - 2 y^{2} + \frac{8}{y ^{3}})

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

\frac{( 2 x - 3 ) ( 3 x + 8 )}{( x - 6 ) ^{3}}