1.

Find the errors and correct the following mathematical sentence:(3a + 4b)(a – b)= 3a2 – 4a2

Answer»

(3a + 4b)(a – b) = 3a2 – 4a2 

3a(a – b) + 4b(a – b) = 3a2 – 4a2 

3a2 – 3ab + 4ab – 4b2 = – a2 

3a2 + ab – 4b2 ≠ a2   

∴ The given sentence is wrong. 

Correct sentence is (3a + 4b) (a – b) = 3a2 + ab – 4b2



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