Ex 14.4, 15 - Find and correct the errors (a - 4) (a - 2) = a^2 - 8


Transcript

Question 15 Find & correct the errors in the following mathematical statements. (a – 4) (a – 2) = 𝑎^2 – 8 Solving L.H.S : (a – 4) (a – 2) = a (a − 2) − 4 (a − 2) = (a × a) − (a × 2) − (4 × a) + (−4 × −2) = 𝑎^2 − 2a − 4a + 8 Taking a common = 𝑎^2 + a (−2 − 4) + 8 = 𝑎^2 + a (−6) + 8 = 𝑎^2 − 6a + 8 ∴ (a − 4) (a − 2) = 𝒂^𝟐 − 6a + 8 is the correct statement.

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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.