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9.2 – Adding & Subtracting Rational Expressions

9.2 – Adding & Subtracting Rational Expressions. Remember adding & subtracting fractions?

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9.2 – Adding & Subtracting Rational Expressions

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2

4 3

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3

4 3 4 3

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3 = 8

4 3 4 3 12

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3 = 8 _ 9

4 3 4 3 12 12

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3 = 8 _ 9 =

4 3 4 3 12 12

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3 = 8 _ 9 = _ 1

4 3 4 3 12 12 12

9.2 – Adding & Subtracting Rational Expressions

• Remember adding & subtracting fractions?– Have to get a common denominator!

2 _ 3

3 4

4 . 2 _ 3 . 3 = 8 _ 9 = _ 1

4 3 4 3 12 12 12– Same w/rational expressions!

Ex. 1 Simplify each expression

Ex. 1 Simplify each expressiona. 6 + 8

ab a

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 +

ab a ab

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a(b)

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a(b)

= 6 + 8b

ab ab

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a(b)

= 6 + 8b

ab ab

= 6 + 8b

ab

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a(b)

= 6 + 8b

ab ab

= 6 + 8b

ab

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

m

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

m

(m+2)(m-2)

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2)

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

Ex. 1 Simplify each expressiona. 6 + 8

ab a

6 + 8 = 6 + 8(b)

ab a ab a (b)

= 6 + 8b

ab ab

= 6 + 8b

ab

b. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m

3(m+2)(m-2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

Ex. 1 Simplify each expression

b. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

3m – 2m + 4

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

3m – 2m + 4

3(m+2)(m–2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

3m – 2m + 4 = m + 4

3(m+2)(m–2)

Ex. 1 Simplify each expressionb. m _ 2

m2 – 4 3m + 6

m _ 2

(m+2)(m-2) 3(m + 2)

3m _ 2 (m – 2)

3(m+2)(m-2) 3(m+2)(m-2)

3m – 2(m – 2)

3(m + 2)(m – 2)

3m – 2m + 4 = m + 4 _

3(m+2)(m–2) 3(m+2)(m–2)