Find the value of 1006×994.
- A999932
- B999964
- C1000032
- D1000064
Solution & Step-by-step Explanation
We can rewrite the expression using the identity (a+b)(a−b)=a
2
−b
2
:
1006×994=(1000+6)×(1000−6)
Applying the identity:
=(1000)
2
−(6)
2
=1000000−36
=999964
2
−b
2
:
1006×994=(1000+6)×(1000−6)
Applying the identity:
=(1000)
2
−(6)
2
=1000000−36
=999964