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

The solution to (x-4sqrt(3))^2 is x^2-8sqrt(3)x+48

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

simplify

(x - 43)^{2}

x^{2} - 83 x + 48

Solution steps

(x - 43)^{2}

Apply Perfect Square Formula:

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

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

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

- 2 x \cdot 43 = - 83 x

(43)^{2} = 48

= x^{2} - 83 x + 48

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

(- \frac{x ^{3}}{3} + \frac{x ^{2}}{2}) (e^{2 x})

8 r + 12 p - 7 - 3 p

π (2 x + 1)^{2} (2 x - 1)

\frac{2 e ^{x^{2}} ( x ^{2} - 1 )}{x ^{3}}