What is (3-sqrt(y/5))^2 ?

The solution to (3-sqrt(y/5))^2 is (45-6sqrt(5)sqrt(y)+y)/5

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simplify (3-sqrt(y/5))^2

simplify

(3 - \frac{y}{5})^{2}

\frac{45 - 6 5 y + y}{5}

Solution steps

(3 - \frac{y}{5})^{2}

Apply Perfect Square Formula:

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

(3 - \frac{y}{5})^{2} = 3^{2} - 2 \cdot 3 \frac{y}{5} + (\frac{y}{5})^{2}

= 3^{2} - 2 \cdot 3 \frac{y}{5} + (\frac{y}{5})^{2}

Simplify

3^{2} - 2 \cdot 3 \frac{y}{5} + (\frac{y}{5})^{2} : \frac{45 - 30 \frac{y}{5} + y}{5}

= \frac{45 - 30 \frac{y}{5} + y}{5}

30 \frac{y}{5} = 65 y

= \frac{45 - 6 5 y + y}{5}

3.14 \cdot 3. 5^{2}

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

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

27 x^{3} y^{3} - 1

6 \frac{3}{2}

What is (3-sqrt(y/5))^2 ?
The solution to (3-sqrt(y/5))^2 is (45-6sqrt(5)sqrt(y)+y)/5