Algebra Tutorials! Monday 19th of March

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 Depdendent Variable

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

 Equ. #3:

 Equ. #4:

 Equ. #5:

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 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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# Multiplying Rational Expressions

Multiplying rational expressions is like multiplying fractions.

Procedure â€” To Multiply Rational Expressions

Step 1 Factor the numerators and denominators.

Step 2 Cancel all pairs of factors common to the numerators and denominators.

Step 3 Multiply the numerators. Multiply the denominators.

Note:

Hereâ€™s an example from arithmetic:

Multiply and write the answer in lowest terms:

 Step 1 Factor the numerators and denominators. Step 2 Cancel all pairs of factors common to the numerators and denominators. Step 3 Multiply the numerators. Multiply the denominators.

Thus,

Example 1

Find:

 Solution Step 1 Factor the numerators and denominators. Step 2 Cancel all pairs of factors common to the numerators and denominators. Step 3 Multiply the numerators. Multiply the denominators.

Thus,

Notice that is in lowest terms.

Example 2

Find:

 Solution Step 1 Factor the numerators and denominators. Step 2 Cancel all pairs of factors common to the numerators and denominators. Step 3 Multiply the numerators. Multiply the denominators.

Thus,