What is factor 3(a-b)^2+5(a-b)+2 ?

The solution to factor 3(a-b)^2+5(a-b)+2 is (3(a-b)+2)(a-b+1)

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factor 3(a-b)^2+5(a-b)+2

factor

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

(3 (a - b) + 2) (a - b + 1)

Solution steps

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

Break the expression into groups

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

Factor out

(a - b)

from

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

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

Factor out common term

3 (a - b) + 2

= (3 (a - b) + 2) ((a - b) + 1)

Refine

= (a + 1 - b) (3 (a - b) + 2)

- 2 x^{2} + 4 x - 2

3 (5 x + 10)^{2} - 18 = - 15

x + 6 = 6

(1 - 1)^{2}

\frac{1}{2} - \frac{9}{2}

What is factor 3(a-b)^2+5(a-b)+2 ?
The solution to factor 3(a-b)^2+5(a-b)+2 is (3(a-b)+2)(a-b+1)