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Use of Parentheses or Brackets (The Distributive Law)
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Use of Parentheses or Brackets (The Distributive Law)
Simplifying Complex Fractions 1
Adding Fractions
Simplifying Complex Fractions
Solutions to Linear Equations in Two Variables
Quadratic Expressions Completing Squares
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Rise and Run
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Writing the Terms of a Polynomial in Descending Order
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Powers of ten (Scientific Notation)
Comparing Integers on a Number Line
Solving Systems of Equations Using Substitution
Factoring Out the Greatest Common Factor
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Multiplying and Dividing Complex Numbers
Properties of Exponents
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Adding or Subtracting Rational Expressions with Different Denominators
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The Quadratic Formula
Writing a Quadratic with Given Solutions
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Adding and Subtracting Square Roots
Adding and Subtracting Rational Expressions
Combining Like Radical Terms
Solving Systems of Equations Using Substitution
Dividing Polynomials
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Product of a Sum and a Difference
Solving First Degree Inequalities
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Adding or Subtracting Rational Expressions with Different Denominators

Example

Subtract:

Solution
Step 1 Find the LCD.

Factor each denominator.

The second fraction can be simplified by canceling the common factor of w.
The LCD is (w + 2)(w - 1).  
Step 2 Rewrite using the LCD.

Multiply the second fraction by

 

The first fraction already has the LCD as its denominator. So, we do not need to multiply it by anything.

Remove the parentheses in the numerator.
Step 3 Subtract.  When simplifying -(w - 1), remember to distribute the negative sign to both terms inside the parentheses. The result is -w - 1.
Distribute the negative sign to remove parentheses.
Combine like terms.
Step 4 Reduce.

There are no common factors to reduce.

So, the result is .

 

 

 
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