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Question
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Solution
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following expression:
\[\left( 82 \right)^2 - \left( 18 \right)^2 \]
\[ = \left( 82 + 18 \right)\left( 82 - 18 \right)\]
\[ = 100 \times 64\]
\[ = 6400\]
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