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Question
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
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Solution
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following expression:
\[\left( 467 \right)^2 - \left( 33 \right)^2 \]
\[ = \left( 467 + 33 \right)\left( 467 - 33 \right)\]
\[ = 500 \times 434\]
\[ = 217000\]
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