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

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

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factor a^2+8a+15

factor

a^{2} + 8 a + 15

(a + 3) (a + 5)

Solution steps

a^{2} + 8 a + 15

Break the expression into groups

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

Factor out

a

from

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

Factor out

5

from

5 a + 15 : 5 (a + 3)

= a (a + 3) + 5 (a + 3)

Factor out common term

a + 3

= (a + 3) (a + 5)

6 x^{2} + 39 x - 21

3^{- \frac{1}{2}} \cdot 3 x^{\frac{9}{2}} (3 x)^{- \frac{7}{2}}

- 20 = x - 17

∣ 7 x - 2 ∣ + 1 \geq 9

2 \leq x + 9 < 4