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Question
Evaluate the following: 53 × 55
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Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[53 \times 55\]
\[ = \left( 50 + 3 \right)\left( 50 + 5 \right)\]
\[ = {50}^2 + \left( 3 + 5 \right)50 + 3 \times 5\]
\[ = 2500 + 400 + 15\]
\[ = 2915\]
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