Question

Determine the factors of a2b + 2a2 + 3b + 6. (b + 3)(a2 + 2) (b + 2)(a2 + 3) (ab + 2)(a + 3) (ab + 3)(a + 2)

Answer 1

B. (b + 2)(a2 + 3)

Explanation:

Answer 2

`(a^2+ 3)(b + 2)`

Explanation:

factor
`a^2b + 2a^2 + 3b + 6`

To factor this we apply grouping method

we group first two terms and last two terms. then we factor out GCF from each group.

`(a^2b + 2a^2) + (3b + 6)`

Take out GCF from each group

`a^2(b + 2) + 3(b + 2)`

Now factor out b+2

`(a^2+ 3)(b + 2)`