What is (sqrt(3)u-sqrt(3/11)v)^2 ?

The solution to (sqrt(3)u-sqrt(3/11)v)^2 is (33u^2-6sqrt(11)uv+3v^2)/(11)

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simplify (sqrt(3)u-sqrt(3/11)v)^2

simplify

(3 u - \frac{3}{11} v)^{2}

\frac{33 u ^{2} - 6 11 uv + 3 v ^{2}}{11}

Solution steps

(3 u - \frac{3}{11} v)^{2}

Apply Perfect Square Formula:

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

(3 u - \frac{3}{11} v)^{2} = (3 u)^{2} - 23 u \frac{3}{11} v + (\frac{3}{11} v)^{2}

= (3 u)^{2} - 23 u \frac{3}{11} v + (\frac{3}{11} v)^{2}

Simplify

(3 u)^{2} - 23 u \frac{3}{11} v + (\frac{3}{11} v)^{2} : \frac{33 u ^{2} - 22 3 \frac{3}{11} uv + 3 v ^{2}}{11}

= \frac{33 u ^{2} - 22 3 \frac{3}{11} uv + 3 v ^{2}}{11}

223 \frac{3}{11} uv = 611 uv

= \frac{33 u ^{2} - 6 11 uv + 3 v ^{2}}{11}

(x + e) x^{e - 1} e^{x - e}

i x (i x - 1) (i x - 5)

(x - 1)^{(x - 1)^{2}}

\frac{27 ( 8 + π )}{2}

\frac{27 ( 8 + π )}{4}

What is (sqrt(3)u-sqrt(3/11)v)^2 ?
The solution to (sqrt(3)u-sqrt(3/11)v)^2 is (33u^2-6sqrt(11)uv+3v^2)/(11)