What is factor (m-n)^2+5(m-n)-24 ?

The solution to factor (m-n)^2+5(m-n)-24 is (m-n-3)(m-n+8)

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factor (m-n)^2+5(m-n)-24

factor

(m - n)^{2} + 5 (m - n) - 24

(m - n - 3) (m - n + 8)

Solution steps

(m - n)^{2} + 5 (m - n) - 24

Break the expression into groups

= ((m - n)^{2} - 3 (m - n)) + (8 (m - n) - 24)

Factor out

(m - n)

from

(m - n)^{2} - 3 (m - n) : (m - n) ((m - n) - 3)

Factor out

8

from

8 (m - n) - 24 : 8 ((m - n) - 3)

= (m - n) ((m - n) - 3) + 8 ((m - n) - 3)

Factor out common term

(m - n) - 3

= ((m - n) - 3) ((m - n) + 8)

Refine

= (m - n - 3) (m + 8 - n)

12 (a - b)^{2} + 7 (a - b) - 12

\infty^{2} - \infty

+ 9 + x y - x - 9 y^{2}

\frac{x ^{4} - 1}{x ^{2} - 1}

3 a x - 3 b x - a y + b y

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