Question 15 - Finding Errors - Chapter 12 Class 8 Factorisation

Last updated at Dec. 16, 2024 by

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

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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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