Question

use the identity (x+a)(x+b)=x2+(a+b)x+ab to find the folling 501*502

Answer 1

(500 + 1)(500+2) = (500)^2 + (1 + 2)500 + 1×2
= 250000 + 1500 + 2
= 251502. ANSWER.
thanks...

Answer 2

501 × 502
(500 + 1)(500 + 2)
using the given identity
(500 + 1)(500 + 2) = 500^2 + (1+2)500 + 1 × 2
= 250000 + 3 × 500 + 2
= 250000 + 1500 + 2
= 250000 + 1502
Ans. = 251502