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

The solution to (sqrt(2)x-sqrt(2)y)^2 is 2x^2-4xy+2y^2

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

simplify

(2 x - 2 y)^{2}

2 x^{2} - 4 x y + 2 y^{2}

Solution steps

(2 x - 2 y)^{2}

Apply Perfect Square Formula:

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

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

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

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

- 22 x 2 y = - 4 x y

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

= 2 x^{2} - 4 x y + 2 y^{2}

9 (\frac{9}{n} x + 1)^{3}

sin (x) (cos (x) + 1)

2 \times (5)

\frac{( ( x + 2 ) ( x - 4 ) )}{( x + 4 ) ( x - 5 ) ( x + 1 )}

(\frac{x}{5} + \frac{3}{80}) (2 x + 1)^{\frac{3}{2}}

What is (sqrt(2)x-sqrt(2)y)^2 ?
The solution to (sqrt(2)x-sqrt(2)y)^2 is 2x^2-4xy+2y^2