Reducing Rational Expressions

• a
• b
• c
• d

Simplify. 

• (m+6)/(m-3)

• 7/(m-3)

• 7(m+6)

• (m-3)

State the domain restrictions.

• x ≠ -3, 2

• x ≠ -1, 6

• x ≠ 3, -2

• x ≠ 1, -6

Divide the Rational Expression

• A

• B

• C

• D

in order to reduce this problem what do you do first?

• cancel the 7x's

• Factor out a 7 from the numerator (top expression).

• subtract 7x from 21

Simplify by cancelling

• 1

• -1

• Can't be simplified

Simplify the expression.

• 
• 
• 
• 

Find the Excluded Value of 32n²/24n

• n = 0

• n = 24

• n = -24

• n can be any real number

Simplify by cancelling

• 7

• Can't be simplified

Can this example be simplified by cancelling.

• No

• yes