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

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

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

simplify

(x - 3 y)^{2}

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

Solution steps

(x - 3 y)^{2}

Apply Perfect Square Formula:

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

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

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

- 2 x 3 y = - 23 x y

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

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

- \frac{1}{3} x (x - 2) (x - 8) (x - 14)

\frac{1}{( t + 1 ) ^{2}}

24 (\frac{4}{5} x - \frac{3}{5} y) (\frac{3}{5} x + \frac{4}{5} y)

\frac{1}{( s - i ) ^{3}} + \frac{1}{( s + i ) ^{3}}

\frac{1}{( s + 5 ) ( s - 4 )}