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

The solution to (sqrt(2)x-sqrt(2/7)y)^2 is (14x^2-4sqrt(7)xy+2y^2)/7

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

simplify

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

\frac{14 x ^{2} - 4 7 x y + 2 y ^{2}}{7}

Solution steps

(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 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}

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

142 \frac{2}{7} x y = 47 x y

= \frac{14 x ^{2} - 4 7 x y + 2 y ^{2}}{7}

(2^{\frac{1}{2}} + 1)^{3}

- (4 x^{4} - 4 x^{2} + 5) (10 x^{\frac{2}{3}})

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

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2^{2} - 4 (2) + 4

What is (sqrt(2)x-sqrt(2/7)y)^2 ?
The solution to (sqrt(2)x-sqrt(2/7)y)^2 is (14x^2-4sqrt(7)xy+2y^2)/7