Find the value using suitable identity ( ii) 998×1002
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Answered by
5
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
12
999996
#answerwithquality #bal
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