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Question
Evaluate the following: 994 × 1006
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Solution
Here, we will use the identity \[\left( x - a \right)\left( x + b \right) = x^2 + \left( b - a \right)x - ab\]
\[994 \times 1006\]
\[ = \left( 1000 - 6 \right) \times \left( 1000 + 6 \right)\]
\[ = {1000}^2 + \left( 6 - 6 \right) \times 1000 - 6 \times 6\]
\[ = 1000000 - 36\]
\[ = 999964\]
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