Question

Factor by groupingg)6a² + 2a - 3ab - b​

Answer 1

Ответ:

6а^2 +2а-3аb-b=(3a+1)(2a-b)

Answer 2

To factor by grouping, we'll group the terms in pairs and then look for common factors that we can factor out. Let's factor the expression 6a² + 2a - 3ab - b step by step:

1. Group the terms in pairs: (6a² + 2a) + (-3ab - b)

2. Factor out the greatest common factor (GCF) from each group: 2a(3a + 1) - b(3a + 1)

Now, we can see that we have a common binomial factor in both groups, which is (3a + 1). We can factor it out:

3. Factor out the common binomial factor: (3a + 1)(2a - b)

So, the fully factored expression is (3a + 1)(2a - b).