SOLUTION: 100-(x-5)^2

Algebra ->  Linear-equations -> SOLUTION: 100-(x-5)^2      Log On


   

Question 143186: 100-(x-5)^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to factor this?

Let y=x-5


So 100-%28x-5%29%5E2 becomes 100-y%5E2. Notice how we have a difference of squares



%2810%2By%29%2810-y%29 Factor the expression using the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29


%2810%2Bx-5%29%2810-%28x-5%29%29 Plug in y=x-5


%2810%2Bx-5%29%2810-x%2B5%29 Distribute


%285%2Bx%29%2815-x%29 Combine like terms


So 100-%28x-5%29%5E2 factors to %285%2Bx%29%2815-x%29