What is factor 4n^2+16n+15 ?

The solution to factor 4n^2+16n+15 is (2n+3)(2n+5)

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factor 4n^2+16n+15

factor

4 n^{2} + 16 n + 15

(2 n + 3) (2 n + 5)

Solution steps

4 n^{2} + 16 n + 15

Break the expression into groups

= (4 n^{2} + 6 n) + (10 n + 15)

Factor out

2 n

from

4 n^{2} + 6 n : 2 n (2 n + 3)

Factor out

5

from

10 n + 15 : 5 (2 n + 3)

= 2 n (2 n + 3) + 5 (2 n + 3)

Factor out common term

2 n + 3

= (2 n + 3) (2 n + 5)

625 \geq 5^{a + 8}

3 (x + 5) + x (x + 5)

\frac{5 ^{6}}{5 ^{2}}

\frac{1}{4} + \frac{3}{8}

k^{2} - 2 km + m^{2}