SOLUTION: 1. (2x + 3)^3-y^3 2. (x+4)^2-(y+1)^2 3. (x-1)^2-10(x-1)+25 I'm having trouble factoring completely the above listed. Can you please guide me on the steps on how to completely

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 1. (2x + 3)^3-y^3 2. (x+4)^2-(y+1)^2 3. (x-1)^2-10(x-1)+25 I'm having trouble factoring completely the above listed. Can you please guide me on the steps on how to completely       Log On


   

Question 1122006: 1. (2x + 3)^3-y^3
2. (x+4)^2-(y+1)^2
3. (x-1)^2-10(x-1)+25
I'm having trouble factoring completely the above listed. Can you please guide me on the steps on how to completely factor these problems? Thank you.
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.
You need firmly know the factoring identities 

    x%5E2+-+y%5E2 = (x+y)*(x-y)


    x%5E3+-+y%5E3 = %28x-y%29%2A%28x%5E2+%2B+xy+%2B+y%5E2%29


    x%5E3%2By%5E3 = %28x%2By%29%2A%28x%5E2+-+xy+%2B+y%5E2%29.

See the lessons
    - The difference of squares formula
    - The sum of cubes formula
    - The difference of cubes formula
in this site.