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If a polynomial has four terms, you can sometimes factor it by grouping it, and factoring one part at a time. You may have to experiment to find the correct combination (and, of course, it is possible that this method doesn't work at all). In this case:
ab + 3a - 2b - 6
= (ab + 3a) - (2b + 6)
= a(b + 3) - 2(b + 3)
= (a - 2)(b + 3)
Note the common factor, (b + 3), in the third step. If you don't get this common factor, you can't continue, and may have to try other grouping combinations.
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Factor ab - 2ac plus b2 - 2bc?
ab-2ac+b^2-2bc
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(a - c)(b - d)
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(a + b)(b - 2c)
Factor ab-2ac plus b2-2bc?
(a + b)(b - 2c)
Can you factor this ab plus 3a-bc-3c?
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