SOLUTION: Apply the Order of Operations to simplify the following expression: 5x[(4x2 - x + 2) - (7x3 - 14x2)/(7x2)] I am completely lost. I'm not sure if I distribute the 5x or not.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Apply the Order of Operations to simplify the following expression: 5x[(4x2 - x + 2) - (7x3 - 14x2)/(7x2)] I am completely lost. I'm not sure if I distribute the 5x or not.       Log On


   

Question 330735: Apply the Order of Operations to simplify the following expression:
5x[(4x2 - x + 2) - (7x3 - 14x2)/(7x2)]
I am completely lost. I'm not sure if I distribute the 5x or not.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
5x%28%284x%5E2+-+x+%2B+2%29+-+%28%287x%5E3+-+14x%5E2%29%2F%287x%5E2%29%29%29
The denominator will cancel so you have:
5x%28%284x%5E2+-+x+%2B+2%29+-+%28x+-+2%29%29
Remove the interior brackets
5x%284x%5E2+-+x+%2B+2+-+x+%2B+2%29%29
Combine like terms
5x%284x%5E2+-+2x%29%29
distribute the 5x now
20x%5E3+-+10x%5E2
Factor out 10x^2
10x%5E2%282x+-+1%29