What is factor 3(a-b)^2-7(a-b)-6 ?

The solution to factor 3(a-b)^2-7(a-b)-6 is (3(a-b)+2)(a-b-3)

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factor 3(a-b)^2-7(a-b)-6

factor

3 (a - b)^{2} - 7 (a - b) - 6

(3 (a - b) + 2) (a - b - 3)

Solution steps

3 (a - b)^{2} - 7 (a - b) - 6

Break the expression into groups

= (3 (a - b)^{2} + 2 (a - b)) + (- 9 (a - b) - 6)

Factor out

(a - b)

from

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

Factor out

- 3

from

- 9 (a - b) - 6 : - 3 (3 (a - b) + 2)

= (a - b) (3 (a - b) + 2) - 3 (3 (a - b) + 2)

Factor out common term

3 (a - b) + 2

= (3 (a - b) + 2) ((a - b) - 3)

Refine

= (a - b - 3) (3 (a - b) + 2)

24.3

(- 3 \cdot 3 + 3 i)^{15}

[(x + y) - 4 z]^{2}

(arcsin (e^{x}))^{4}

a^{2} m - 3 n - 3 m + a^{2} n

What is factor 3(a-b)^2-7(a-b)-6 ?
The solution to factor 3(a-b)^2-7(a-b)-6 is (3(a-b)+2)(a-b-3)