Math

(Notebook)

Lesson 3: Simplifying Rational Expressions

Simplify the following fractions.

5/20, 8/18, 4/8, 5/15, 6/8, 18/24

What is rational expression?

How to identify if a given expression is polynomial or not?

Identify if the following is a polynomial or not.

1. 3x

2. (2x+1)/(x^2 - 3)

3. (x^-1)/(x+2)

4. e/(e-1)

5. (4x^2y+xy^2)/(3xy^3)

6. (x^2+x^1/3+2)/(x-6)

7. (2x^2+ √z^2 - 3)/(x+1)

*Recall the different types of factoring.

Simplify the following rational expressions.

1. 3m^5/m^7

2.

m^2-11m+18 / m^2+2m-8

Is the numerator factorable?If yes, what are its factors?

Is the denominator factorable?If yes, what are its factors?

What is the simplified form of the given rational expression?

3.

m^2-7m-30 / m^2-24-5m

Is the numerator factorable?If yes, what are its factors?

Is the denominator factorable?If yes, what are its factors?

What is the simplified form of the given rational expression?

4.

m^2+8m+12 / m^2+3m-18

Is the numerator factorable?If yes, what are its factors?

Is the denominator factorable?If yes, what are its factors?

What is the simplified form of the given rational expression?

5.

m^2-27+6m / m^2-81

just simply add the same/like terms, but if it's different terms u must subtract it..

1: 9n-15

2: -3r+11

3: 14p-5

4: -5k+8

5: -20+30b-2b

= 28b-20

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