What is factor (a-b)^2+5(a-b)-24 ?

The solution to factor (a-b)^2+5(a-b)-24 is (a-b-3)(a-b+8)

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factor (a-b)^2+5(a-b)-24

factor

(a - b)^{2} + 5 (a - b) - 24

(a - b - 3) (a - b + 8)

Solution steps

(a - b)^{2} + 5 (a - b) - 24

Break the expression into groups

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

Factor out

(a - b)

from

(a - b)^{2} - 3 (a - b) : (a - b) ((a - b) - 3)

Factor out

8

from

8 (a - b) - 24 : 8 ((a - b) - 3)

= (a - b) ((a - b) - 3) + 8 ((a - b) - 3)

Factor out common term

(a - b) - 3

= ((a - b) - 3) ((a - b) + 8)

Refine

= (a - b - 3) (a + 8 - b)

C (6.5)

- 8 + - 16

6 a x - 2 ab + 3 a^{2} - 4 b x

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a^{3} b^{6} c^{9} + 1000

What is factor (a-b)^2+5(a-b)-24 ?
The solution to factor (a-b)^2+5(a-b)-24 is (a-b-3)(a-b+8)