What is factor 12(x-y)^2+7(x-y)-12 ?

The solution to factor 12(x-y)^2+7(x-y)-12 is (4(x-y)-3)(3(x-y)+4)

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factor 12(x-y)^2+7(x-y)-12

factor

12 (x - y)^{2} + 7 (x - y) - 12

(4 (x - y) - 3) (3 (x - y) + 4)

Solution steps

12 (x - y)^{2} + 7 (x - y) - 12

Break the expression into groups

= (12 (x - y)^{2} - 9 (x - y)) + (16 (x - y) - 12)

Factor out

3 (x - y)

from

12 (x - y)^{2} - 9 (x - y) : 3 (x - y) (4 (x - y) - 3)

Factor out

4

from

16 (x - y) - 12 : 4 (4 (x - y) - 3)

= 3 (x - y) (4 (x - y) - 3) + 4 (4 (x - y) - 3)

Factor out common term

4 (x - y) - 3

= (4 (x - y) - 3) (3 (x - y) + 4)

(cot (x))^{2}

\frac{4}{9} p^{2} + p - 1

8 s^{3} t^{6} + 125 q^{3}

10 - 25

- 4 + (- 6 p)

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