Question

Using identity,evaluate: 501 x 503

Answer 1

SOLUTION

TO EVALUATE

Using identity : 501 × 503

FORMULA TO BE IMPLEMENTED

We are aware of algebraic identity that

$\sf{ {a}^{2} - {b}^{2} = (a + b)(a - b)}$

EVALUATION

$\sf{501 \times 503}$

$\sf{ = 503 \times 501}$

$\sf{ = (502 + 1) \times (502 - 1)}$

$\sf{ = {(502)}^{2} - {(1)}^{2} }$

$\sf{ = 252004 - 1}$

$\sf{ = 252003}$

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Answer 2

Answer:

503×502

=502-1 × 502+1

=252003