What is expand 2(sqrt(2)x-sqrt(2/7)y)^2 ?

The solution to expand 2(sqrt(2)x-sqrt(2/7)y)^2 is (2(14x^2-14sqrt(2)sqrt(2/7)xy+2y^2))/7

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expand 2(sqrt(2)x-sqrt(2/7)y)^2

expand

2 (2 x - \frac{2}{7} y)^{2}

\frac{2 ( 14 x ^{2} - 14 2 \frac{2}{7} x y + 2 y ^{2} )}{7}

Solution steps

2 (2 x - \frac{2}{7} y)^{2}

Apply Perfect Square Formula:

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

(2 x - \frac{2}{7} y)^{2} = (2 x)^{2} - 22 x \frac{2}{7} y + (\frac{2}{7} y)^{2}

= 2 (2 x)^{2} - 22 x \frac{2}{7} y + (\frac{2}{7} y)^{2}

Simplify

(2 x)^{2} - 22 x \frac{2}{7} y + (\frac{2}{7} y)^{2} : \frac{14 x ^{2} - 14 2 \frac{2}{7} x y + 2 y ^{2}}{7}

= 2 \cdot \frac{14 x ^{2} - 14 2 \frac{2}{7} x y + 2 y ^{2}}{7}

Apply the fraction rule:

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

= \frac{2 ( 14 x ^{2} - 14 2 \frac{2}{7} x y + 2 y ^{2} )}{7}

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

(x^{2} - \frac{2}{x})^{8}

ln (x) (1 - \frac{y}{x})

(2 x^{5} + \frac{1}{x})^{24}

\frac{( a + b + c ) ( - a + b + c ) ( a - b + c ) ( a + b - c )}{16}

What is expand 2(sqrt(2)x-sqrt(2/7)y)^2 ?
The solution to expand 2(sqrt(2)x-sqrt(2/7)y)^2 is (2(14x^2-14sqrt(2)sqrt(2/7)xy+2y^2))/7