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

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

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

simplify

(2 x + 3) (2 x + 3)

4 x + 12 x + 9

Solution steps

(2 x + 3) (2 x + 3)

Apply exponent rule:

aa = a^{2}

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

= (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

(3 d^{4}) (2 d^{6}) (4 d^{9})

(4 x^{2}) (2 x^{3})

x^{0.08} \cdot e^{- 0.7 \cdot x}

(\frac{125 e ^{12}}{27 f ^{3}})^{- \frac{2}{3}}

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