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

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

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factor 9m^2+30mn+25n^2

factor

9 m^{2} + 30 mn + 25 n^{2}

(3 m + 5 n)^{2}

Solution steps

9 m^{2} + 30 mn + 25 n^{2}

Rewrite in the form of

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

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

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

30 mn = 2 \cdot 3 m \cdot 5 n

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

Apply Perfect Square Formula:

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

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

= (3 m + 5 n)^{2}

14 x + 20

\frac{20}{25} + \frac{28}{100}

(3 a)^{3}

9 x^{2} + 27 x - 90

\frac{13}{5} + 1 = 0

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