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

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

  = 12p 3 + 15p 2 + 21𝑝

  1. Chapter 9 Class 8 Algebraic Expressions and Identities
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.