Question

Identify the factors of 6ab − 8a + 21b − 28. (5 points)

Answer 1

Answer:

$(2a+7)(3b-4)$

Step-by-step explanation:

The given expression is

$6ab-8a+21b-28$

Make the groups for this expression as shown below

$(6ab-8a)+(21b-28)$

Factor out GCF from each group

$2a(3b-4)+7(3b-4)$

Now, (3b-4) is common. Hence, factored out this, we get

$(3b-4)(2a+7)$

Therefore, the factored form of the given expression is

$(2a+7)(3b-4)$

Third option is correct.

Answer 2

Rearrange to

6ab+21b-8a-28 now factor 1st and 2nd pair of terms...

3b(2a+7)-4(2a+7)

(3b-4)(2a+7)

So it is the third one down...