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Question
Evaluate the following: 35 × 37
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Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[35 \times 37\]
\[ = \left( 30 + 5 \right)\left( 30 + 7 \right)\]
\[ = {30}^2 + \left( 5 + 7 \right)30 + 5 \times 7\]
\[ = 900 + 360 + 35\]
\[ = 1295\]
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