1.
![(y - 5)(x + y)](/tpl/images/0460/2159/c81af.png)
2.
![{(x - y)}(x - y + a)](/tpl/images/0460/2159/20f35.png)
3.
![(b - 3)(5b - 17)](/tpl/images/0460/2159/6603f.png)
Step-by-step explanation:
1. The given polynomial is
![x(y - 5) - y(5 - y)](/tpl/images/0460/2159/47635.png)
We need to factor the second part to get:
![x(y - 5) + y(y - 5)](/tpl/images/0460/2159/faf15.png)
We factor y-5 to obtain:
![(y - 5)(x + y)](/tpl/images/0460/2159/c81af.png)
2. We have
![{(x - y)}^{2} - a(y - x)](/tpl/images/0460/2159/66e42.png)
We again factor -1 from the second part to get:
![{(x - y)}^{2} + a(x- y)](/tpl/images/0460/2159/9eb0c.png)
We now factor x-y to get:
![{(x - y)}^{2} + a(x- y)](/tpl/images/0460/2159/1fd24.png)
![{(x - y)}(x - y + a)](/tpl/images/0460/2159/20f35.png)
3. We have
![2(3 - b) + 5 {(b - 3})^{2}](/tpl/images/0460/2159/527bb.png)
We factor negative 1 from the first part to get
![- 2(b - 3) + 5 {(b - 3})^{2}](/tpl/images/0460/2159/855b4.png)
We now factor b-3 to get:
![(b - 3)( - 2 + 5(b - 3))](/tpl/images/0460/2159/31962.png)
We now simplify to get:
![(b - 3)( - 2 + 5b - 15) = (b - 3)(5b - 17)](/tpl/images/0460/2159/99a57.png)