What is factor 12(a-b)^2+7(a-b)-12 ?

The solution to factor 12(a-b)^2+7(a-b)-12 is (4(a-b)-3)(3(a-b)+4)

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factor 12(a-b)^2+7(a-b)-12

factor

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

(4 (a - b) - 3) (3 (a - b) + 4)

Solution steps

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

Break the expression into groups

= (12 (a - b)^{2} - 9 (a - b)) + (16 (a - b) - 12)

Factor out

3 (a - b)

from

12 (a - b)^{2} - 9 (a - b) : 3 (a - b) (4 (a - b) - 3)

Factor out

4

from

16 (a - b) - 12 : 4 (4 (a - b) - 3)

= 3 (a - b) (4 (a - b) - 3) + 4 (4 (a - b) - 3)

Factor out common term

4 (a - b) - 3

= (4 (a - b) - 3) (3 (a - b) + 4)

\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

e^{5} - e^{2}

What is factor 12(a-b)^2+7(a-b)-12 ?
The solution to factor 12(a-b)^2+7(a-b)-12 is (4(a-b)-3)(3(a-b)+4)