Q. 2 D5.0( 8 Votes )

# Evaluate the following products without actual multiplication.501 × 501

501 can be written as (500 + 1)

501 × 501 = (500 + 1) × (500 + 1)

501 × 501 = (500 + 1)2

501 × 501 = (500 + 1) × (500 + 1)

501 × 501 = (500 + 1)2

Using identity (a + b)2 = a2 + 2ab + b2

Here a = 500 and b = 1

501 × 501 = 5002 + 2(500)(1) + 12

501 × 501 = 250000 + 1000 + 1

501 × 501 = 251001

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