# 8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.

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8.5 – Add and Subtract Rational Expressions

When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute the negative!

1. Perform the indicated operation and simplify. a. = 6 = 1

1. Perform the indicated operation and simplify. b. = =

1. Perform the indicated operation and simplify. c. = =

What if you have unlike denominators? Find the least common denominator!

2. Find the least common multiple. and 5x(2x – 3) 5x 3 (2x – 3) a.

2. Find the least common multiple. and 4(x 2 – 4) 6(x 2 – 4x + 4) 6(x – 2) 2 4(x – 2)(x + 2) 12(x – 2) 2 (x + 2) b.

3. Perform the indicated operation. = 2x2x 3 2x2x 3

4. Perform the indicated operation. x + 4 x + 6 =

5. Perform the indicated operation. = 2x – 3 2

6. Perform the indicated operation. = (x+3) (x+3)(x+5) (x-5)(x+5)

6. Perform the indicated operation.

Complex Fraction: Fraction in the numerator or denominator How To solve: Multiply the numerator and denominator by the least common multiple of every fraction in the numerator and denominator

7. Simplify. 60 === -5

8. Simplify. (x+5)(x-3) =

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