Question

evaluate 96×104using (a+b)(a_b)

Answer 1

We know that,

(a+b) ( a - b) = a² - b²

96 × 104

= ( 100 - 4 ) ( 100 + 4 )

= ( 100² - 4²)

= ( 10,000 - 16)

= 9984

Therefore, 96 * 104 = 9984 .

Hope helped :)

Answer 2

Answer:

9984

Step-by-step explanation:

To evaluate : 96 × 104

We know that,

• 96 can be written as ( 100 - 4 )
• 104 can be written as ( 100 + 4 )

So we can write ( 96 × 104 ) as :

⇒ ( 100 - 4 ) × ( 100 + 4 )

This is of the form ( a + b ) ( a - b ), which is ( a² - b² )

So, ( 100 + 4 ) ( 100 - 4 ) = 100² - 4²

⇒ 10000 - 16

⇒ 9984

Hence this is the required answer !!