SOLUTION: again these are over each other for example x^2 - 3x + 2 is over 7x - 14 Divide: x2 – 3x + 2 7x – 14 ÷ x^2 – 1 7x + 7

Algebra ->  Radicals -> SOLUTION: again these are over each other for example x^2 - 3x + 2 is over 7x - 14 Divide: x2 – 3x + 2 7x – 14 ÷ x^2 – 1 7x + 7       Log On


   

Question 146709: again these are over each other for example x^2 - 3x + 2 is over 7x - 14
Divide:
x2 – 3x + 2
7x – 14

÷
x^2 – 1
7x + 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29 Start with the given expression.


%28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Multiply the first fraction %28x%5E2-3x%2B2%29%2F%287x-14%29 by the reciprocal of the second fraction %28x%5E2-1%29%2F%287x%2B7%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287x-14%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Factor x%5E2-3x%2B2 to get %28x-1%29%2A%28x-2%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287%28x-2%29%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Factor 7x-14 to get 7%28x-2%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287%28x-2%29%29%29%28%287%28x%2B1%29%29%2F%28x%5E2-1%29%29 Factor 7x%2B7 to get 7%28x%2B1%29.


Factor x%5E2-1 to get %28x-1%29%2A%28x%2B1%29.


%28%28x-1%29%2A%28x-2%297%28x%2B1%29%29%2F%287%28x-2%29%28x-1%29%2A%28x%2B1%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


1 Simplify.


So %28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29 simplifies to 1.


In other words, %28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29=1 where.x%3C%3E-1, x%3C%3E1 or x%3C%3E2