1.

Evaluate using suitable identities.497 × 505

Answer»

497 × 505 

= (500 – 3) (500 + 5) 

= 5002 + (–3 + 5) × 500 + (–3) (5) [using (x + a) (x + b) = x2 + (a + b) x + ab] 

= 250000 + 1000 – 15 

= 250985



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