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

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

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

simplify

(3 x - y)^{2}

3 x^{2} - 23 x y + y^{2}

Solution steps

(3 x - y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 3 x^{2} - 23 x y + y^{2}

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

\frac{9 ( n + 1 )}{n}

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

0.75 (x + \frac{1}{x} - 2)

\frac{5 x ^{2}}{( 2 x ^{3} + 4 ) ^{4}}