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 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)