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

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

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expand 2((sqrt(2))/2 x-(sqrt(2))/2 y)^2

expand

2 (\frac{2}{2} x - \frac{2}{2} y)^{2}

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

Solution steps

2 (\frac{2}{2} x - \frac{2}{2} y)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 2 \cdot \frac{- 2 x y + x ^{2} + y ^{2}}{2}

Cross-cancel common factor:

2

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

(x^{2} - 5 x + 5)^{5}

V (2, - 1) y F (4, - 1)

\frac{2 y - 5}{( y - 2 ) ( y + 1 )}

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

(t^{2} - 1) d t

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