# Simplifying Rational Expressions Definitions: Rational Number: a number that can be written - PowerPoint PPT Presentation

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Simplifying Rational Expressions Definitions: Rational Number: a number that can be written as a fraction Rational Expression: a fraction whose numerator, denominator or both are non-zero polynomials. Simplify. Ex A: Ex B:. Rule: whenever you see addition or subtraction in a

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Simplifying Rational Expressions Definitions: Rational Number: a number that can be written

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Simplifying Rational Expressions

Definitions:

Rational Number: a number that can be written

as a fraction

Rational Expression: a fraction whose numerator,

denominator or both are non-zero polynomials

Simplify.

Ex A:

Ex B:

Rule: whenever you see addition or subtraction in a

fraction, (top or bottom) put ( )'s around it.

matching ( )'s will cancel from top to bottom!

x + 1

x - 2

Steps:

1. Factor numerator and denominator

2. cancel common

*numbers (outside parenthesis)

*variables (outside parenthesis)

*matching ( )'s

Simplify.

Ex C:

Ex D:

x2 - 25 =

n2 - 49 =

r2 - 36 =

x2 - 81 =

Ex E:

Ex F:

Ex G:

Ex H:

Ex I:

Ex J:

Ex K:

Ex L:

CW/HW

Worksheet on

Simplifying Rational Expressions