What is factor 25y^2-60y+36 ?

The solution to factor 25y^2-60y+36 is (5y-6)^2

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factor 25y^2-60y+36

factor

25 y^{2} - 60 y + 36

(5 y - 6)^{2}

Solution steps

25 y^{2} - 60 y + 36

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 y^{2} = (5 y)^{2}

36 = 6^{2}

- 60 y = - 2 \cdot 5 y \cdot 6

= (5 y)^{2} - 2 \cdot 5 y \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

(5 y)^{2} - 2 \cdot 5 y \cdot 6 + 6^{2} = (5 y - 6)^{2}

= (5 y - 6)^{2}

2 a^{2} - 7 a - 4

- 248 u^{2} - 15400 u + 1012800 = 13200 (40 + u)

0.8097840332 = \frac{y}{57}

- \frac{16}{9} = - \frac{4}{3} (\frac{5}{3} + n)

- 9 a^{4} + 6 a^{3} - 3 a^{2}