SOLUTION: The fraction x²+2x-8/x-2 is equivalent to (1)3x+4 (2)(x-4)(x+2)/(x-2) (3)x-4 (4)x+4

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: The fraction x²+2x-8/x-2 is equivalent to (1)3x+4 (2)(x-4)(x+2)/(x-2) (3)x-4 (4)x+4       Log On


   

Question 198018: The fraction x²+2x-8/x-2 is equivalent to
(1)3x+4
(2)(x-4)(x+2)/(x-2)
(3)x-4
(4)x+4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B2x-8%29%2F%28x-2%29 Start with the given expression.


%28%28x%2B4%29%28x-2%29%29%2F%28x-2%29 Factor x%5E2%2B2x-8 to get %28x%2B4%29%28x-2%29.


%28%28x%2B4%29highlight%28%28x-2%29%29%29%2F%28highlight%28%28x-2%29%29%29 Highlight the common terms.


%28%28x%2B4%29cross%28%28x-2%29%29%29%2F%28cross%28%28x-2%29%29%29 Cancel out the common terms.


x%2B4 Simplify.


So %28x%5E2%2B2x-8%29%2F%28x-2%29 simplifies to x%2B4.


In other words, %28x%5E2%2B2x-8%29%2F%28x-2%29=x%2B4 where x%3C%3E2