What is factor 9m^2+30m+25 ?

The solution to factor 9m^2+30m+25 is (3m+5)^2

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factor 9m^2+30m+25

factor

9 m^{2} + 30 m + 25

(3 m + 5)^{2}

Solution steps

9 m^{2} + 30 m + 25

Rewrite in the form of

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

9 m^{2} = (3 m)^{2}

25 = 5^{2}

30 m = 2 \cdot 3 m \cdot 5

= (3 m)^{2} + 2 \cdot 3 m \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

(3 m)^{2} + 2 \cdot 3 m \cdot 5 + 5^{2} = (3 m + 5)^{2}

= (3 m + 5)^{2}

(x - 1)^{2} - 10 (x - 1) + 25

4 x^{2} + 23 x - 6

2^{2} \cdot 2^{2}

- 6 + 14

\frac{3 - x}{x} > 0