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

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

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

simplify

(3 x - 2)^{2}

3 x^{2} - 43 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} - 23 x \cdot 2 + 2^{2}

= (3 x)^{2} - 23 x \cdot 2 + 2^{2}

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

- 23 x \cdot 2 = - 43 x

2^{2} = 4

= 3 x^{2} - 43 x + 4

(1 + tan (x)) (sec (x) tan (x))

(\frac{k ^{2} + k}{2})^{2}

(π + i)^{2}

\frac{z}{( z - 1 ) ^{2}}

(x^{2} - y) y^{''} (x)