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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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Lecture Comments (3)

0 answers

Post by Hossain Khondaker on April 12, 2015

I am having a difficult time comprehending this chapter I am  struggling with the whole chapter please help me.

1 answer

Last reply by: Dr Carleen Eaton
Sat Jul 27, 2013 10:15 AM

Post by Edwin Wong on July 12, 2013

it should be (x+2) not (x+5)

Multiplying Rational Expressions

  • To multiply two rational expressions, first factor all the numerators and denominators. Then cancel the common factors. Combine the remaining factors to form the final, simplified answer.
  • If two factors in the numerator and denominator look almost the same, factor –1 out of either of the factors and see if you get two identical factors.

Multiplying Rational Expressions

Multiply:
[(40a2b3c5)/(20a3b5c4)] ×[(15a4b3c2)/(24a2b5c3)]
  • [(1c2)/(4b2c2)] ×[3a/(6b2)]
  • [1/(4b2)] ×[a/(2b2)]
  • [a/(4b2 ×2b2)]
[a/(8b4)]
Multiply:
[(18u4v3w5x8)/(26v4w6x2)] ×[(14v5w2x4)/(54u3v6w7)]
  • [(1ux8)/(13w4)] ×[(7vx2)/(3v3w2)]
  • [(ux8)/(13w4)] ×[(7x2)/(3v2w5)]
[(7ux10)/(39v2w9)]
Multiply:
[(42c3d2e4)/(60c5d6e2)] ×[(45c6e2f3)/(35d4ef2)]
  • [(6c3)/(4d6)] ×[(3cf3)/(5d2ef2)]
  • [(3c3)/(2d6)] ×[3cf/(5d2e)]
[(9c4f)/(10d8e)]
Multiply:
[(6y + 36)/(4y − 14)] ×[(16y + 30)/(2y + 12)]
  • [(6( y + 6 ))/(2( 2y − 7 ))] ×[(2( 8y + 15 ))/(2( y + 6 ))]
  • [3/(2y − 7)] ×[(8y + 15)/1]
[(3( 8y + 15 ))/(2y − 7)]
Multiply:
[(24n − 36)/(10n − 35)] ×[(16n + 48)/(18n − 27)]
  • [(12( 2n − 3 ))/(5( 2n − 7 ))] ×[(16( n + 3 ))/(9( 2n − 3 ))]
  • [12/(5( 2n − 7 ))] ×[(16( n + 3 ))/9]
[4/(5( 2n − 7 ))] ×[(16( n + 3 ))/3]
Multiply:
[(16b + 44)/(27b − 45)] ×[(15b − 25)/(16b − 72)]
  • [(4( 4b + 11 ))/(9( 3b − 5 ))] ×[(5( 3b − 5 ))/(8( 2b − 9 ))]
[(( 4b + 11 ))/9] ×[5/(( 2b − 9 ))]
Multiply:
[(9x + 12)/(4x + 20)] ×[(x2 + 3x − 10)/(3x2 + x − 4)]
  • [(3( 3x + 4 ))/(4( x + 5 ))] ×[(( x + 5 )( x − 2 ))/(( 3x + 4 )( x − 1 ))]
  • [3/4] ×[(x − 2)/(x − 1)]
[(3( x − 2 ))/(4( x − 1 ))]
Multiply:
[(6x − 21)/(6x − 24)] ×[(5x2 + 25x + 20)/(2x2 + x − 28)]
  • [(3( 2x − 7 ))/(6( x + 4 ))] ×[(5( x2 + 5x + 4 ))/(2x2 + x − 28)]
  • [(3( 2x − 7 ))/(6( x + 4 ))] ×[(5( x + 4 )( x + 1 ))/(( 2x − 7 )( x + 4 ))]
  • [3/6] ×[(5( x + 1 ))/(( x + 4 ))]
  • [1/2] ×[(5( x + 1 ))/(( x + 4 ))]
[(5( x + 1 ))/(2( x + 4 ))]
Multiply:
[(x2 − 12x + 32)/(4x2 − 16x − 20)] ×[(2x2 − 50)/(2x2 − 15x − 8)]
  • [(( x − 4 )( x − 8 ))/(4( x2 − 4x − 5 ))] ×[(2( x2 − 25 ))/(2x2 − 15x − 8)]
  • [(( x − 4 )( x − 8 ))/(4( x + 1 )( x − 5 ))] ×[(2( x + 5 )( x − 5 ))/(( 2x + 1 )( x − 8 ))]
  • [(x − 4)/(4( x + 1 ))] ×[(2( x + 5 ))/(2x + 1)]
  • [(x − 4)/(2( x + 1 ))] ×[(x + 5)/(2x + 1)]
[(( x − 4 )( x + 5 ))/(2( x + 1 )( 2x + 1 ))]
Multiply:
[(2x2 − 10x − 28)/(x2 − 2x − 80)] ×[(5x2 − 36x − 32)/(6x2 − 12)]
  • [(2( x2 − 5x − 14 ))/(x2 − 2x − 80)] ×[(5x2 − 36x − 32)/(6( x2 − 2 ))]
[(2( x + 2 )( x − 7 ))/(( x − 10 )( x + 8 ))] ×[(( 5x + 4 )( x − 8 ))/(6( x + 2 )( x − 2 ))]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Multiplying Rational Expressions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Procedure 0:08
    • Examples
  • Cancel Before Multiplication 1:53
    • Example
  • Rational Expressions Containing Polynomials 3:18
    • Example
  • Example 1: Multiply Rational Expressions 6:04
  • Example 2: Multiply Rational Expressions 9:11
  • Example 3: Multiply Rational Expressions 11:19
  • Example 4: Multiply Rational Expressions 17:36