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

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