What is factor a^2+3a+8a+24 ?

The solution to factor a^2+3a+8a+24 is (a+3)(a+8)

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factor a^2+3a+8a+24

factor

a^{2} + 3 a + 8 a + 24

(a + 3) (a + 8)

Solution steps

a^{2} + 3 a + 8 a + 24

Add similar elements:

3 a + 8 a = 11 a

= a^{2} + 11 a + 24

Break the expression into groups

= (a^{2} + 3 a) + (8 a + 24)

Factor out

a

from

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

Factor out

8

from

8 a + 24 : 8 (a + 3)

= a (a + 3) + 8 (a + 3)

Factor out common term

a + 3

= (a + 3) (a + 8)

m^{2} = 32

5 x^{2} + 9 x = 2

- 8 (4 x + 3) + 2 \leq - 182

\frac{2 x - 1}{3} + \frac{3 x + 4}{4} = \frac{7 ( x + 3 )}{10}

∣ 14 - 4 x ∣ \geq 16