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Question
Evaluate the following: 102 × 106
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Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[102 \times 106\]
\[ = \left( 100 + 2 \right)\left( 100 + 6 \right)\]
\[ = {100}^2 + \left( 2 + 6 \right)100 + 2 \times 6\]
\[ = 10000 + 800 + 12\]
\[ = 10812\]
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