Question

Use suitable identity and solve.
(i) 104 x 99​

Answer 1

Answer:

Question:

Use suitable identity and solve.

(i) 104 x 99​

What to find?

The product of 104 x 99​ using a suitable identity.

How to find?

To find the product of 104 x 99​ we can write it as (100 + 4) (100 - 1) also like (x + a) (x - b) = x² + (a - b)x - ab where x = 100, a = 4, b = 1.

Solution:

104 x 99​

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

⇒ (100 + 4) (100 - 1)

⇒ 100² + (4 - 1)100 - 4 × 1

⇒ 10000 + 3(100) - 4

⇒ 10000 + 300 - 4

⇒ 10300 - 4

⇒ 10296

∴ Therefore, the answer is 10296.