What is (3-sqrt(y/3))^2 ?

The solution to (3-sqrt(y/3))^2 is (27-6sqrt(3)sqrt(y)+y)/3

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simplify (3-sqrt(y/3))^2

simplify

(3 - \frac{y}{3})^{2}

\frac{27 - 6 3 y + y}{3}

Solution steps

(3 - \frac{y}{3})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} - 2 \cdot 3 \frac{y}{3} + (\frac{y}{3})^{2} : \frac{27 - 18 \frac{y}{3} + y}{3}

= \frac{27 - 18 \frac{y}{3} + y}{3}

18 \frac{y}{3} = 63 y

= \frac{27 - 6 3 y + y}{3}

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

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

(- 9 + 2 i) (- 9 + A i) (- 9 - A i)

[\frac{k ( k + 1 )}{2}] + (k + 1)

(- 3, 4, - 18) l e f t (k^{3} - k, 0, 1 - k^{2})

What is (3-sqrt(y/3))^2 ?
The solution to (3-sqrt(y/3))^2 is (27-6sqrt(3)sqrt(y)+y)/3