What is factor a^2+17a+72 ?

The solution to factor a^2+17a+72 is (a+8)(a+9)

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factor a^2+17a+72

factor

a^{2} + 17 a + 72

(a + 8) (a + 9)

Solution steps

a^{2} + 17 a + 72

Break the expression into groups

= (a^{2} + 8 a) + (9 a + 72)

Factor out

a

from

a^{2} + 8 a : a (a + 8)

Factor out

9

from

9 a + 72 : 9 (a + 8)

= a (a + 8) + 9 (a + 8)

Factor out common term

a + 8

= (a + 8) (a + 9)

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