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

The solution to (sqrt(2)x-3y)^2 is 2x^2-6sqrt(2)xy+9y^2

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

simplify

(2 x - 3 y)^{2}

2 x^{2} - 62 x y + 9 y^{2}

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

= (2 x)^{2} - 22 x \cdot 3 y + (3 y)^{2}

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

- 22 x \cdot 3 y = - 62 x y

(3 y)^{2} = 9 y^{2}

= 2 x^{2} - 62 x y + 9 y^{2}

- \frac{1}{4} sin^{3} (x) cos (x) + \frac{3}{8} (x - sin (2 x))

\frac{k ( k + 2 )}{( k + 3 ) ^{2}}

\frac{d}{d x} ((z (x, y)) (10 x + 9 y)) - 11 x

\frac{x ( x ^{4} + x ^{3} + x ^{2} + x )}{x - 1}

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

What is (sqrt(2)x-3y)^2 ?
The solution to (sqrt(2)x-3y)^2 is 2x^2-6sqrt(2)xy+9y^2