Can some one help please??

Question

I need to Factor

3a^2 (a - b) - 6a(a - b) + 21(a - b)


and then completely factor

3x - 3 + xy - y

Answer 1

1.take out (a-b) as the common factor
(a-b)(3a^2-6a+21)
(a-b)(3)(a^2-2a+7)
3(a-b)(a^2-2a+7)

2.3x-3+xy-y
grouping two terms togetherand taking out common factor
3(x-1)+y(x-1)
(x-1)(3+y)

Answer 2

Do you know what factoring mean? If you do then you should be able to do this. If you don't you need to read your book and figure out how they did the examples. Here's one then figure those problems out:

x^2 + 2x + 5x + 10
First you need to look at the thing and see what terms have something in common. x^2 + 2x have x in common and 5x + 10 have 5 in common. That's the easiest way to start. So you end up with this:
x (x + 2) + 5(x +2)
Now you can see that x + 2 shows up twice this means you can keep factoring.
(x + 2) (x + 5) That's as far as you can get.

Good luck!