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Question
Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a2 − 3b2
Solution
L.H.S. = (2a + 3b) (a − b) = 2a × a + 3b × a − 2a × b − 3b × b
= 2a2 + 3ab − 2ab − 3b2 = 2a2 + ab − 3b2 ≠ R.H.S.
The correct statement is (2a + 3b) (a − b) = 2a2 + ab − 3b2
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