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

The solution to (4-sqrt(3)x)^2 is 16-8sqrt(3)x+3x^2

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

simplify

(4 - 3 x)^{2}

16 - 83 x + 3 x^{2}

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 43 x + (3 x)^{2}

= 4^{2} - 2 \cdot 43 x + (3 x)^{2}

4^{2} = 16

- 2 \cdot 43 x = - 83 x

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

= 16 - 83 x + 3 x^{2}

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