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

(5, - 2) y (3, - 6)

(x - 2) (x + 2) (x^{2} - 2)

(2 + 3)^{2} - (2 - 3)^{2}

\frac{x + 2}{x ( x + 4 )}