What is expand 3((sqrt(2))/2 x+(sqrt(2))/2 y)^2 ?

The solution to expand 3((sqrt(2))/2 x+(sqrt(2))/2 y)^2 is (3(2xy+x^2+y^2))/2

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expand 3((sqrt(2))/2 x+(sqrt(2))/2 y)^2

expand

3 (\frac{2}{2} x + \frac{2}{2} y)^{2}

\frac{3 ( 2 x y + x ^{2} + y ^{2} )}{2}

Solution steps

3 (\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}

= 3 (\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}

= 3 \cdot \frac{2 x y + x ^{2} + y ^{2}}{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 ( 2 x y + x ^{2} + y ^{2} )}{2}

- 4 (7 + 42)

- \frac{2 ( 7 + 614 )}{35}

x (ln (x) + 1)

\frac{cot ( x ) ( sin ( x ) + tan ( x ) )}{csc ( x ) + cot ( x )}

What is expand 3((sqrt(2))/2 x+(sqrt(2))/2 y)^2 ?
The solution to expand 3((sqrt(2))/2 x+(sqrt(2))/2 y)^2 is (3(2xy+x^2+y^2))/2