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Question
Evaluate the following: 109 × 107
Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[109 \times 107\]
\[ = \left( 100 + 9 \right)\left( 100 + 7 \right)\]
\[ = {100}^2 + \left( 9 + 7 \right)100 + 9 \times 7\]
\[ = 10000 + 1600 + 63\]
\[ = 11663\]
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