Worksheet: Multiplying and Dividing Rational Expressions

In this worksheet, we will practice multiplying and dividing rational expressions.

Q1:

Simplify 5๐‘ฅโˆ’7๐‘ฅ3๐‘ฅโˆ’2รท2๐‘ฅโˆ’54๐‘ฅโˆ’7๏Šจ. Write your answer in fully factored form.

  • A(๐‘ฅโˆ’7)(4๐‘ฅโˆ’7)(3๐‘ฅโˆ’2)(๐‘ฅโˆ’5)
  • B๐‘ฅ(5๐‘ฅ+3)(๐‘ฅโˆ’7)(3๐‘ฅโˆ’2)(๐‘ฅโˆ’5)
  • C๐‘ฅ(5๐‘ฅโˆ’7)(2๐‘ฅโˆ’5)(3๐‘ฅโˆ’2)(4๐‘ฅโˆ’7)
  • D(๐‘ฅโˆ’7)(๐‘ฅ+3)(3๐‘ฅโˆ’2)(2๐‘ฅโˆ’7)
  • E๐‘ฅ(5๐‘ฅโˆ’7)(4๐‘ฅโˆ’7)(3๐‘ฅโˆ’2)(2๐‘ฅโˆ’5)

Q2:

Simplify ๐‘ฅ+2๐‘ฅ+3ร—2๐‘ฅ+6๐‘ฅ+1.

  • A2๐‘ฅ+1๐‘ฅ+4
  • B2๐‘ฅ+4๐‘ฅ+8
  • C3๐‘ฅ+4๐‘ฅ+1
  • D2๐‘ฅ+4๐‘ฅ+1
  • E2๐‘ฅ+3๐‘ฅ+1

Q3:

Simplify ๐‘ฅ+4๐‘ฅโˆ’1ร—๐‘ฅ+1๐‘ฅ+3๐‘ฅโˆ’4๏Šจ.

  • A๐‘ฅ+1(๐‘ฅ+1)๏Šจ
  • B๐‘ฅ+1(๐‘ฅ+4)๏Šจ
  • C๐‘ฅ+1(๐‘ฅโˆ’1)๏Šจ
  • D๐‘ฅโˆ’1(๐‘ฅโˆ’1)๏Šจ
  • E๐‘ฅโˆ’1(๐‘ฅ+1)๏Šจ

Q4:

Simplify 2412(๐‘›+5)รท๐‘›+3(๐‘›+5)(๐‘›+3).

Q5:

Simplify 2๐‘ฅ๐‘ฅ+3รท2๐‘ฅ5๐‘ฅ+15.

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