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Question
Evaluate the following: 34 × 36
Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[34 \times 36\]
\[ = \left( 30 + 4 \right)\left( 30 + 6 \right)\]
\[ = {30}^2 + \left( 4 + 6 \right)30 + 4 \times 6\]
\[ = 900 + 300 + 24\]
\[ = 1224\]
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