Question

Use suitable identites to find the following:
I)500×502

Answer 1

(i) (n + 1)(n - 1) = n² - 1

Here,

500 × 502

(501 - 1) (501 + 1)

501² - 1²

251001 - 1

251000

(ii) n (n + 2) = n^2 + 2n

Here,

500 × 502

500 (500 + 2)

250000 + 1000

251000

(iii) n (n - 2) = n^2 - 2n

Here,

500 × 502

502 × 500

502 (502 - 2)

252004 - 1004

251000

I think the most suitable is the second one.

Hope this may be helpful.

Thank you. Have a nice day. :-)

#adithyasajeevan