Question

Evaluate
497×505 using suitable identify​

Answer 1

Answer:

calculatre use ok sorry bro

Answer 2

Answer:

Question:

Evaluate  497 × 505 using suitable identity​.

What to find?

The product of 497 × 505 using an identity.

How to find?

To find the product of 497 × 505 we can write it as (500 - 3) (500 + 5) also like (x - a) (x + b) = x² - (a - b)x - ab where x = 500, a = 3, b = 5.

Solution:

497 × 505

Using the identity, (x - a) (x + b) = x² - (a - b)x - ab

⇒ (500 - 3) (500 + 5)

⇒ 500² - (3 - 5)500 - 3 × 5

⇒ 500² - (-2)500 - 15

⇒ 500² - (-1000) - 15

⇒ 500² + 1000 - 15

⇒ 250000 + 1000 - 15

⇒ 251000 - 15

⇒ 250985

∴ Therefore, the answer is 250985.