What is factor a^2+10a+24 ?

The solution to factor a^2+10a+24 is (a+4)(a+6)

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factor a^2+10a+24

factor

a^{2} + 10 a + 24

(a + 4) (a + 6)

Solution steps

a^{2} + 10 a + 24

Break the expression into groups

= (a^{2} + 4 a) + (6 a + 24)

Factor out

a

from

a^{2} + 4 a : a (a + 4)

Factor out

6

from

6 a + 24 : 6 (a + 4)

= a (a + 4) + 6 (a + 4)

Factor out common term

a + 4

= (a + 4) (a + 6)

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