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

The solution to (sqrt(2x)-sqrt(3y))^2 is 2x-2sqrt(6)sqrt(x)sqrt(y)+3y

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

simplify

(2 x - 3 y)^{2}

2 x - 26 x y + 3 y

Solution steps

(2 x - 3 y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x)^{2} - 2 2 x 3 y + (3 y)^{2} : 2 x - 26 x y + 3 y

= 2 x - 26 x y + 3 y

(1 - sin^{2} (x))^{3}

(y^{2} - 1)^{2}

cos (x) cot (x) + sin (x)

(cosh (x) - sinh (x))^{2}

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

What is (sqrt(2x)-sqrt(3y))^2 ?
The solution to (sqrt(2x)-sqrt(3y))^2 is 2x-2sqrt(6)sqrt(x)sqrt(y)+3y