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

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

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

simplify

(2 x + 3)^{2}

4 x + 12 x + 9

Solution steps

(2 x + 3)^{2}

Apply Perfect Square Formula:

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

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

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

(2 x)^{2} = 4 x

2 \cdot 2 x \cdot 3 = 12 x

3^{2} = 9

= 4 x + 12 x + 9

(1 - 2 sin^{2} (x) - cos^{2} (x)) \cdot cot^{2} (x)

sin (x (t - y))

(x - y) d x

\frac{4}{( e ^{x} + e ^{- x} ) ^{2}}

(x - 3) (x + 1)^{'}