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}

- \frac{3}{4} + \frac{7}{8}

x + x

lo g_{\frac{1}{7}} (12 - x) \geq - 2

\frac{1}{2} (3)^{2} \frac{2 π}{3}

- (a - 3) = 5 (a + 3)