SOLUTION: Can someone please help me with this problem: Write the expression in lowest terms. 2x+2 / 6x^2 + 16x + 10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help me with this problem: Write the expression in lowest terms. 2x+2 / 6x^2 + 16x + 10      Log On


   

Question 201123: Can someone please help me with this problem:
Write the expression in lowest terms.
2x+2 / 6x^2 + 16x + 10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B2%29%2F%286x%5E2%2B16x%2B10%29 Start with the given expression.


%282%28x%2B1%29%29%2F%286x%5E2%2B16x%2B10%29 Factor 2x%2B2 to get 2%28x%2B1%29.


%282%28x%2B1%29%29%2F%282%2A%283x%2B5%29%2A%28x%2B1%29%29 Factor 6x%5E2%2B16x%2B10 to get 2%2A%283%2Ax%2B5%29%2A%28x%2B1%29.


Highlight the common terms.


Cancel out the common terms.


1%2F%283x%2B5%29 Simplify.


So %282x%2B2%29%2F%286x%5E2%2B16x%2B10%29 simplifies to 1%2F%283x%2B5%29.


In other words, %282x%2B2%29%2F%286x%5E2%2B16x%2B10%29=1%2F%283x%2B5%29