Question

A mix of factoring by grouping. Factor the exressions. 17ax+17a-x-1 Please explain/show steps on how to do this!

Answer 1

`(17a-1)(x+1)`

Explanation:

Given: Expression is
`17ax+17a-x-1`

To factor: the given expression

Solution:

Take
`17a` common from the first two terms and
`-1` from the last two terms.

`17ax+17a=17a(x+1)`

and

`-x-1=-(x+1)`

So,

`17ax+17a-x-1=17a(x+1)-1(x+1)\\=(17a-1)(x+1)`

Therefore,

`17ax+17a-x-1=(17a-1)(x+1)`