What is (sqrt(y/5)-45)^2 ?

The solution to (sqrt(y/5)-45)^2 is (y-90sqrt(5)sqrt(y)+10125)/5

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simplify (sqrt(y/5)-45)^2

simplify

(\frac{y}{5} - 45)^{2}

\frac{y - 90 5 y + 10125}{5}

Solution steps

(\frac{y}{5} - 45)^{2}

Apply Perfect Square Formula:

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

(\frac{y}{5} - 45)^{2} = (\frac{y}{5})^{2} - 2 \frac{y}{5} \cdot 45 + 4 5^{2}

= (\frac{y}{5})^{2} - 2 \frac{y}{5} \cdot 45 + 4 5^{2}

Simplify

(\frac{y}{5})^{2} - 2 \frac{y}{5} \cdot 45 + 4 5^{2} : \frac{y - 450 \frac{y}{5} + 10125}{5}

= \frac{y - 450 \frac{y}{5} + 10125}{5}

450 \frac{y}{5} = 905 y

= \frac{y - 90 5 y + 10125}{5}

(m^{2} + p^{2} + 4 m^{2} + p^{2})^{2}

(2 + 3) (4 - 5)

(arctan (2 x)) (2 + x^{2})

\frac{11}{2} \times (\frac{2}{4} + \frac{1}{5})

160 (1 - e^{- 0.17 t})

What is (sqrt(y/5)-45)^2 ?
The solution to (sqrt(y/5)-45)^2 is (y-90sqrt(5)sqrt(y)+10125)/5