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Question 13 Find and correct the errors in the following mathematical statements. (2a + 3b) (a โ€“ b) = 2๐‘Ž^2 โ€“ 3๐‘^2 (2a + 3b) (a โ€“ b) = 2๐‘Ž^2 โ€“ 3๐‘^2 Solving L.H.S : (2a + 3b) (a โ€“ b) = 2a (a โˆ’ b) + 3b (a โˆ’ b) = (2a ร— a) โˆ’ (2a ร— b) + (3b ร— a) โˆ’ (3b ร— b) = ใ€–2๐‘Žใ€—^2 โˆ’ 2ab + 3ba โˆ’ ใ€–3๐‘ใ€—^2 = ใ€–2๐‘Žใ€—^2 โˆ’ 2ab + 3ab โˆ’ ใ€–3๐‘ใ€—^2 Taking ab common = ใ€–2๐‘Žใ€—^2 + ab (โˆ’2 + 3) โˆ’ ใ€–3๐‘ใ€—^2 (Since 3ba = 3ab) = ใ€–2๐‘Žใ€—^2 + ab โˆ’ ใ€–3๐‘ใ€—^2 โˆด (2a + 3b) (a โˆ’ b) = ใ€–๐Ÿ๐’‚ใ€—^๐Ÿ + ab โˆ’ ใ€–๐Ÿ‘๐’ƒใ€—^๐Ÿ is the correct statement

  1. Chapter 12 Class 8 Factorisation
  2. Serial order wise

About the Author

Davneet Singh

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 and Computer Science at Teachoo