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

The solution to (5-sqrt(y/2))^2 is (50-10sqrt(2)sqrt(y)+y)/2

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

simplify

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

\frac{50 - 10 2 y + y}{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

5^{2} - 2 \cdot 5 \frac{y}{2} + (\frac{y}{2})^{2} : \frac{50 - 20 \frac{y}{2} + y}{2}

= \frac{50 - 20 \frac{y}{2} + y}{2}

20 \frac{y}{2} = 102 y

= \frac{50 - 10 2 y + y}{2}

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

\frac{1}{j w ( 1 + j wT )}

\frac{18}{s ^{2} ( s ^{2} + 9 )}

2 (2 + y 10)

What is (5-sqrt(y/2))^2 ?
The solution to (5-sqrt(y/2))^2 is (50-10sqrt(2)sqrt(y)+y)/2