Question

Evaluate 98×102 without actual multiplication ...​

Answer 1

Answer:

9996

Step-by-step explanation:

Given---> 98 × 102

To find---> Value of given product without actual multiplication

Solution---> We know that,

98 = ( 100 - 2 )

102 = ( 100 + 2 )

We have an identity as follows,

a² - b² = ( a + b ) ( a - b )

Now ,

98 × 102 = ( 100 - 2 ) ( 100 + 2 )

Applying above identity we get,

= ( 100 )² - ( 2 )²

= 10000 - 4

= 9996

Additional information--->

1) ( x + a ) ( x + b ) = x² + ( a + b )x + ab

2) ( a + b )² = a² + b² + 2ab

3) ( a - b )² = a² + b² - 2ab

4) (a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

5) ( a + b )³ = a³ + b³ + 3ab ( a + b )

6) ( a - b )³ = a³ - b³ - 3ab ( a - b )

#Answerwithquality

#BAL

Answer 2

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9996

#answerwithquality #bal