Question

501*501, Evaluate the given product without actual multiplication.

Answer 1

Here's your answer

Hope it helps you......

Answer 2

Solution :

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We know the algebraic identity ,

( a + b )² = a² + 2ab + b²

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501 × 501

= ( 500 + 1 )( 500 + 1 )

= ( 500 + 1 )²

= ( 500 )² + 2 × 500 × 1 + 1²

= 250000 + 1000 + 1

= 251001

Therefore ,

501 × 501 = 251001

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