www.iTutoring.com -­‐ NOTES Adding and Subtracting Rational Expressions without Like Denominators Name _________________________________ Date ___________________ Period _______ Rational Expression
a fraction of polynomials
2x2 + 3x + 2
x2 – 4x + 6
polynomial
polynomial
x2 – 4
2x
27x3 + 8
x2 – x – 20
To add or subtract rational expressions with unlike denominators...
Step 1: Find the least common denominators of both rational expressions
Step 2: Create like denominators of both rational expressions
Step 3: Add or subtract rational expressions with like denominators
Add or subtract the following rational expressions
1
4
+
5x3y
2xy2
Add or subtract the following rational expressions
5
x–3
–
x+4
x
Add or subtract the following rational expressions
x
x–3
+
x–2
x+4
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Adding and Subtracting Rational Expressions without Like Denominators Pg. 2 Add or subtract the following rational expressions
x
x – 15
+
x2 – 9
x+3
Add or subtract the following rational expressions
x+4
x+1
–
x2 – x – 6
x2 + 5x + 6
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Adding and Subtracting Rational Expressions without Like Denominators Pg. 3