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

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

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

simplify

(3 x - 2)^{2}

9 x - 12 x + 4

Solution steps

(3 x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

(3 x)^{2} = 9 x

- 2 \cdot 3 x \cdot 2 = - 12 x

2^{2} = 4

= 9 x - 12 x + 4

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