SOLUTION: im sorry if i could get help on this last problem thanks alot! which product of factors is equivalent to (x+1)-y? (please note there is a little 2 over on top next to the 1 out of

Algebra ->  Equations -> SOLUTION: im sorry if i could get help on this last problem thanks alot! which product of factors is equivalent to (x+1)-y? (please note there is a little 2 over on top next to the 1 out of      Log On


   

Question 146199: im sorry if i could get help on this last problem thanks alot!
which product of factors is equivalent to (x+1)-y? (please note there is a little 2 over on top next to the 1 out of the paranthesis and another little 2 over the y ? THANK YOU AGAIN.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%5E2-y%5E2 Start with the given expression

Let a=x%2B1


a%5E2-y%5E2 Replace x%2B1 with "a"



%28a%2By%29%28a-y%29 Now factor the expression by use of the difference of squares formula. Remember, the difference of squares formula is A%5E2-B%5E2=%28A%2BB%29%28A-B%29


%28x%2B1%2By%29%28x%2B1-y%29 Replace each "a" with x%2B1


%28x%2By%2B1%29%28x-y%2B1%29 Rearrange the terms



So %28x%2B1%29%5E2-y%5E2 factors to %28x%2By%2B1%29%28x-y%2B1%29


In other words, %28x%2B1%29%5E2-y%5E2=%28x%2By%2B1%29%28x-y%2B1%29