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

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

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factor 9n^2+30n+25

factor

9 n^{2} + 30 n + 25

(3 n + 5)^{2}

Solution steps

9 n^{2} + 30 n + 25

Rewrite in the form of

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

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

25 = 5^{2}

30 n = 2 \cdot 3 n \cdot 5

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

Apply Perfect Square Formula:

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

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

= (3 n + 5)^{2}

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