Multiplication of Monomials by Binomials and Trinomials

Last updated at April 16, 2024 by

Multiplying 1 term with 2 terms and 1 term with 3 terms or more

 

3x × (5y + 2)

      = 3x × 5y + 3x × 2

      = 15xy + 6x

 

(−5y + 2) × (−3x)

     = (−5y) × (−3x) + 2 × (−3x)

     = 5y × 3x – 2 × 3x

     = 15xy − 6x

 

2x × (3x + 5xy)

     = 2x × 3x + 2x × 5xy

     = 2 × 3 × x × x + 2 × 5 × x × x × y

     = 6x 2 + 10x 2 y

 

5xy × (y 2 + 3)

  = 5xy × y 2 + 5xy × 3

  = 5 × x × y × y 2 + 5 × 3 × x × y

  = 5 xy 3 + 15xy

 

a 2 (2ab − 5c)

  = a 2 × 2ab − a 2 × 5c

  = 2 × a 2 × a × b − 5 × a 2 × c

  = 2a 3 b − 5a 2 c

 

3p × (4p 2 + 5p + 7)

  = 3p × 4p 2 + 3𝑝 × 5𝑝 + 3𝑝 × 7

  = 3 × 4 × 𝑝 × p 2 + 3 × 5 × 𝑝 × p + 3 × 7 × 𝑝

  = 12p 3 + 15p 2 + 21𝑝

 

(4p 2 + 5p + 7) × 3p

  = 4p 2 × 3𝑝 + 5𝑝 × 3𝑝 + 7 × 3𝑝

  = 12p 3 + 15p 2 + 21𝑝

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.