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Question
Evaluate the following: 103 × 96
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Solution
Here, we will use the identity
\[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\]
\[103 \times 96\]
\[ = \left( 100 + 3 \right)\left( 100 - 4 \right)\]
\[ = {100}^2 + \left( 3 - 4 \right)100 - 3 \times 4\]
\[ = 10000 - 100 - 12\]
\[ = 9888\]
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