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Dividing rational expressions
- Intro Lesson9:46
- Lesson: 12:37
- Lesson: 2a5:32
- Lesson: 2b8:46
- Lesson: 32:07
- Lesson: 44:10
- Lesson: 54:28
- Lesson: 66:01
Dividing rational expressions
Lessons
∙ multiplication rule: xa⋅xb=xa+b
∙ division rule: xbxa=xa−b
∙ division rule: xbxa=xa−b
- Introduction∙ Review: Dividing Monomials
- 1.Simplifying Rational Expressions Involving Division
State the restrictions on the variables, then simplify.
64y281x÷32y27x2 - 2.Simplifying Rational Expressions Involving both Multiplication and Division
State the restrictions on the variables, then simplify.a)8x5z372x4y2×x3y2÷15z415x4y4b)18x2z715x4y4×5x3y5z3÷50z525x2y - 3.Dividing Rational Expressions in Factored Form
State the non-permissible values for x, then simplify:
(x−5)(x+4)(x+2)÷(x+4)(x)3(x+2) - 4.Convert Expressions to Factored Form, then Divide
State the non-permissible values for x, then simplify:
x2−43x2−12x÷x2−x−62x3−8x2 - 5.Fractions Dividing Fractions
State the non-permissible values for x, then simplify:
(2x−5)225x2+10x4x−1025x+10 - 6.Performing Addition First, then Division
Simplify:
a3+52a+63+4a−44
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12.
Algebraic Fractions
12.1
Simplifying algebraic fractions and restrictions
12.2
Adding and subtracting algebraic fractions
12.3
Multiplying algebraic fractions
12.4
Dividing algebraic fractions
12.5
Solving equations with algebraic fractions
12.6
Applications of equations with algebraic fractions
12.7
Simplifying complex fractions
12.8
Partial fraction decomposition