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

The solution to (sqrt(3x)-2sqrt(3y))^2 is 3x-12sqrt(x)sqrt(y)+12y

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

simplify

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

3 x - 12 x y + 12 y

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x)^{2} - 2 3 x \cdot 2 3 y + (2 3 y)^{2} : 3 x - 12 x y + 12 y

= 3 x - 12 x y + 12 y

- x^{2} + 7 x + 8

- \frac{1}{2 2}

\frac{t + 2}{3 t - 9} + \frac{3 - 2 t}{5 t - 15}

π^{2}

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

What is (sqrt(3x)-2sqrt(3y))^2 ?
The solution to (sqrt(3x)-2sqrt(3y))^2 is 3x-12sqrt(x)sqrt(y)+12y