Question

(499)^2 - (201)^2 using suitable identity answer will be in step by step​

Answer 1

Here's your answer...Hope it helps!

Q.) (499)² - (201)²

(499)² = (500 - 1)²

By using algebraic identity, (a + b)² = a² - 2ab + b², we have:-

(500 - 1)² = (500)² - 2×(500)×(1) + (1)²

= 250000 - 1000 + 1

= 249001

(201)² = (200 + 1)²

By using algebraic identity, (a + b)² = a² - 2ab + b², we have:-

(200 + 1)² = (200)² + 2×(200)×(1) + (1)²

= 40000 + 800 + 1

= 40801

Now, subtacting (201)² or (200 + 1)² from (499)² or (500 - 1)²

249001 - 40801

=> 208200

Answer 2

Answer:

(499) ²-(201) ² = (499-201) (499+201) = 298 × 700 = 208600

Please mark me Brainliest.