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 + 3 - 1) (x - 1 - 3)

\frac{2 s ^{2} + 10 s + 16}{( s + 2 ) ( s ^{2} + 6 s + 10 )}

2 x (x + x)

(y sin (+ x y cos (x))) d x + (x sin (x) + 1) d y

\frac{1}{5 ^{(k + 1)} ln ( k + 2 ) ( k + 2 )}

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