Question

( 97 )^2 evaluate of the following by using identities​

Answer 1

Evaluate

( 97 )^2 evaluate of the following by using identities.

Evaluate Solution:

• = 100 - 3² close parenthises.
• = (100)² - 2 (100)(3) + (3)²
• = 10,000 - 600 + 9
• = 10,000 - 600
• = 9400
• = 9400 + 9
• = 9409

Answer 2

9409

Explanation:

Let's rewrite 97 as 100 - 3.

Identity used :

(a - b)² = a² - 2ab + b²

Now, evaluating the expression :

⇒ (100 - 3)²

⇒ (100)² - 2(100)(3) + (3)²

⇒ 10000 - 600 + 9

⇒ 9400 + 9

⇒ 9409