SOLUTION: Reduce the rational expression to lowest terms. 2x + 6 / 2x squared + 14x + 24

Question 296704: Reduce the rational expression to lowest terms.
2x + 6 / 2x squared + 14x + 24
Found 2 solutions by jim_thompson5910, unlockmath:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Factor the numerator.

Factor the denominator.

Highlight the common terms.

Cancel out the common terms.

Simplify.

So simplifies to

In other words,
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's first rewrite this 2x + 6 / 2x squared + 14x + 24 as:
2x + 6 / 2x^2 + 14x + 24 Both top and bottom and be factored as:
2(x+3)/2(x+3)(x+4) The (x+3) and 2 cancel out to leave us:
1/(x+4)
Make Sense?
RJ
Check out a book I wrote:
www.math-unlock.com
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