What is factor 4n^2+15n+9 ?

The solution to factor 4n^2+15n+9 is (4n+3)(n+3)

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factor 4n^2+15n+9

factor

4 n^{2} + 15 n + 9

(4 n + 3) (n + 3)

Solution steps

4 n^{2} + 15 n + 9

Break the expression into groups

= (4 n^{2} + 3 n) + (12 n + 9)

Factor out

n

from

4 n^{2} + 3 n : n (4 n + 3)

Factor out

3

from

12 n + 9 : 3 (4 n + 3)

= n (4 n + 3) + 3 (4 n + 3)

Factor out common term

4 n + 3

= (4 n + 3) (n + 3)

8 + 4

9 + 8

5 i \cdot (- i)

\frac{x ^{2} + 10 x + 25}{x + 5}

\frac{x ^{2} - 5 x - 36}{x ^{2} + 10 x + 24} \cdot \frac{4 x + 24}{6 x - 54}