Question

Which of the following could be factored by grouping?

Answer 1

look at the similarities between terms

Answer 2

the last option?

Answer 3

well technically you could factor by grouping 1, 3, and 4
I'm not sure what your teacher wants

Answer 4

factor by grouping is when you split it up into 2 groups

and you're able to factor each of those groups
and then factor something else that's common

let me show you an example:

5x + 10y + 2x + 4y

if we separate it into two groups
5x + 10y
2x + 4y

factor each one

5x + 10y = 5(x + 2y)
and
2x + 4y = 2(x + 2y)

so now we go from
5x + 10y + 2x + 4y

to having
5(x + 2y) + 2(x+2y)

Answer 5

now to make this next part easier to see
let's just say x+2y is an apple or 'a'

5a+ 2a
= 7a

and then replace the 'a' with x+2y

so basically we were able to factor that x+2y from both of those terms and we get a final answer of 7*(x+2y)

Answer 6

so take a look at your answer choices now

factor the first two terms
and then factor the second two terms separately

do you get a factor that's common between them?