Check sibling questions

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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.