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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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# Dividing Rational Expressions

You probably know how to divide rational expressions containing monomials. Now, we will use the same procedure to divide rational expressions that contain binomials or trinomials.

Note:

Here is an example of dividing rational expressions that contain monomials:

Procedure â€” To Divide Rational Expressions

Step 1 Invert the second fraction and change the division symbol, Ã·, to the multiplication symbol, Â·.

Step 2 Factor the numerators and denominators.

Step 3 Cancel all pairs of factors common to the numerators and denominators.

Step 4 Multiply the numerators. Multiply the denominators.

We usually leave the answer in factored form.

Example 1

Find:

 Solution Step 1 Invert the second fraction and change the division symbol, Ã·, to the multiplication symbol, Â· . Step 2 Factor the numerators and denominators. Step 3 Cancel all pairs of factors common to the numerators and denominators. Step 4 Multiply the numerators. Multiply the denominators.

Thus,

Example 2

Find:

 Solution Step 1 Invert the second fraction and change the division symbol, Ã·, to the multiplication symbol, Â·. Step 2 Factor the numerators and denominators. Step 3 Cancel all pairs of factors common to the numerators and denominators. Replace with -1. Step 4 Multiply the numerators. Multiply the denominators.

Thus,

Note:

You can also write the answer as follows: