What is factor x^2+8x+15 ?

The solution to factor x^2+8x+15 is (x+3)(x+5)

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factor x^2+8x+15

factor

x^{2} + 8 x + 15

(x + 3) (x + 5)

Solution steps

x^{2} + 8 x + 15

Break the expression into groups

= (x^{2} + 3 x) + (5 x + 15)

Factor out

x

from

x^{2} + 3 x : x (x + 3)

Factor out

5

from

5 x + 15 : 5 (x + 3)

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

Factor out common term

x + 3

= (x + 3) (x + 5)

1 + 2 b - 13 = 12 - 4 b - 2 b

\frac{3 ( x - 2 )}{4} - \frac{2 ( x - 3 )}{3} = \frac{x}{6} - \frac{3 x - 6}{4}

x^{2} + 3 x - 2

4 x^{2} + 4 x - 15 = 0

(8 + 9 i) (8 - 9 i)