Math, asked by Gavin4527, 1 year ago

Find the value using suitable identity ( ii) 998×1002

Answers

Answered by rishu6845

Answer:

999996

Step-by-step explanation:

Given---> 998 × 1002

To find ---> Value of given expression by using suitable identity.

Solution---> We have an identity,

a² - b² = ( a + b ) ( a - b )

Now ,we know that,

998 = 1000 - 2

1002 = 1000 + 2

Now,

998 × 1002 = ( 1000 - 2 ) ( 1000 + 2 )

Now applying above identity , we get,

= ( 1000 )² - ( 2 )²

= 1000000 - 4

= 999996

Additional information--->

1) ( a + b )² = a² + b² + 2ab

2) ( a - b )² = a² + b² - 2ab

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

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

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

6) ( a³ + b³ ) = ( a + b ) ( a² + b² - ab )

7) ( a³ - b³ ) = ( a - b ) ( a² + b² + ab )

Answered by Aɾꜱɦ

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