# How do you factor #35ab + 56a + 10kb +16k#?

##### 1 Answer

Oct 22, 2015

#### Answer:

#### Explanation:

First we note that we can take out $a$ and $k$ at the left and right terms of the polynomial respectively

Now we look at common divisors of 10 and 35, these are 1 and 5. We also look at common devisors of 56 and 16, these are 2, 4, and 8. Now we make the observation that 35=7*5, 56=7*8, 10=2*5, 16=2*8. This means we can do the following: