Question

without actual calculation,find the value of (101)²-(99)²

Answer 1

Hey user

Here is your answer :-

( 101 )^2 - ( 99 )^2

using a^2 - b^2 = ( a - b )( a + b )

( 101 )^2 - ( 99 )^2

= ( 101 - 99 )( 101 + 99 )

= 2 × 200

= 400

So ( 101 )^2 - ( 99 )^2 = 400

Thank you .