What is (4-3sqrt(x))^2 ?

The solution to (4-3sqrt(x))^2 is 16-24sqrt(x)+9x

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simplify (4-3sqrt(x))^2

simplify

(4 - 3 x)^{2}

16 - 24 x + 9 x

Solution steps

(4 - 3 x)^{2}

Apply Perfect Square Formula:

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

(4 - 3 x)^{2} = 4^{2} - 2 \cdot 4 \cdot 3 x + (3 x)^{2}

= 4^{2} - 2 \cdot 4 \cdot 3 x + (3 x)^{2}

4^{2} = 16

- 2 \cdot 4 \cdot 3 x = - 24 x

(3 x)^{2} = 9 x

= 16 - 24 x + 9 x

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