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

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Presentation transcript:

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 _

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _ 3. 3 =

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _ 3. 3 = 8 _

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _ 3. 3 = 8 _ 9 =

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _ 3. 3 = 8 _ 9 = _

9.2 – Adding & Subtracting Rational Expressions Remember adding & subtracting fractions? –Have to get a common denominator! 2 _ _ 3. 3 = 8 _ 9 = _ –Same w/rational expressions!

Ex. 1 Simplify each expression

a ab a

Ex. 1 Simplify each expression a ab a = 6 + ab a ab

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a(b)

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab = 6 + 8b ab

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a(b) = 6 + 8b ab ab = 6 + 8b ab

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6 m

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6 m (m+2)(m-2)

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2)

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2)

Ex. 1 Simplify each expression a ab a = 6 + 8(b) ab a ab a (b) = 6 + 8b ab ab = 6 + 8b ab b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m 3(m+2)(m-2)

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2)

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2)

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2)

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2)

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 2 (m – 2) 3(m+2)(m-2) 3m – 2(m – 2) 3(m + 2)(m – 2) 3m – 2m + 4

Ex. 1 Simplify each expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 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 expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 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 expression b. m _ 2 m 2 – 4 3m + 6 m _ 2 (m+2)(m-2) 3(m + 2) 3m _ 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)