SOLUTION: Hello, I need help factoring this problem. Not sure how to really start it off but this is what I started with. 5(y-1)^2 - 2(y-1)-3 (5y^2-5)-(2y-2)-3 5y^2-10-2y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I need help factoring this problem. Not sure how to really start it off but this is what I started with. 5(y-1)^2 - 2(y-1)-3 (5y^2-5)-(2y-2)-3 5y^2-10-2y       Log On


   

Question 713968: Hello, I need help factoring this problem. Not sure how to really start it off but this is what I started with.
5(y-1)^2 - 2(y-1)-3
(5y^2-5)-(2y-2)-3
5y^2-10-2y
Answer by Edwin P McCravy(4) About Me  (Show Source):
You can put this solution on YOUR website!
5(y-1)² - 2(y-1) - 3

Substitute the letter u for (y-1)

5u² - 2u - 3

Factor that as 

(u - 1)(5u + 3)

Change the parentheses to brackets:

[u - 1][5u + 3]

Now replace u by (y-1)

[(y-1) - 1][5(y-1) + 3]

[y-1 - 1][5y-5 + 3]

[y-2][5y-2]

Go back to parentheses:

(y-2)(5y-2)

Edwin