What is factor a^2+5a-36 ?

The solution to factor a^2+5a-36 is (a-4)(a+9)

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factor a^2+5a-36

factor

a^{2} + 5 a - 36

(a - 4) (a + 9)

Solution steps

a^{2} + 5 a - 36

Break the expression into groups

= (a^{2} - 4 a) + (9 a - 36)

Factor out

a

from

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

Factor out

9

from

9 a - 36 : 9 (a - 4)

= a (a - 4) + 9 (a - 4)

Factor out common term

a - 4

= (a - 4) (a + 9)

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