Evaluate 98×102 without actual multiplication ...
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Answered by
8
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
Answered by
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9996
#answerwithquality #bal
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