Saturday

February 28, 2015

February 28, 2015

Posted by **Stacey** on Sunday, April 25, 2010 at 6:31pm.

(over means there is a line under the first expression and then the second expression is placed underneath the line)

2c^2-c-1 over 2c^2+3c+1

8c^2+2c over 4c+1

- Math -
**Mike**, Sunday, April 25, 2010 at 6:44pmStacey,

Given any rational expression, your first instinct should be to factor the numerator (if possible), then factor the denominator (if possible), then divide out and common factors. So, assuming you know how to factor . . .

2c^2-c-1 --> (2c+1)(c-1)

2c^2+3c+1 --> (2c+1)(c+1)

Once factoring is completed, you will notice that there is a common binomial on top and bottom, namely (2c+1). That can be canceled out, leaving a final answer of (c-1)/(c+1).

WARNING: DO NOT CANCEL OUT THE C's. You can cancel factors but NOT TERMS.

For the 2nd example:

8c^2+2c --> 2c(4c+1)

4c+1 -----> 4c+1

The common binomial of (4c+1) cancels out, thus leaving you with 2c as you final answer.

Hope this helps!

**Answer this Question**

**Related Questions**

algebra 2 - On a second report that you reviewed, the team simplified the ...

math - How would you simplify this rational expression: Can you please show me ...

Algebra - Simplify the complex rational expression 3/(x+5)+ 6/(x+3) ÷ (3x+13)/(x...

Math - Simplify that rational expression. Please show the steps x^3-8/x^2-4

math - application of the laws of exponent. show different ways of simplifying ...

Intermediate algebra - I need to simplify this rational expression and show the ...

math - application of the laws of exponent show different ways of simplifying ...

Algebra - Divide the rational expression. Express the quotient as a rational ...

math - What are the steps of the order of operations? Why is it important that ...

Algebra - Rational Expressions 1-x^2/x Second expression 2b-2/2b^2-8 please show...