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Question
Using the formula for squaring a binomial, evaluate the following: (99)2
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Solution
Here, we will use the identity \[\left( a - b \right)^2 = a^2 - 2ab + b^2\]
\[\left( 99 \right)^2 \]
\[ = \left( 100 - 1 \right)^2 \]
\[ = \left( 100 \right)^2 - 2 \times 100 \times 1 + 1^2 \]
\[ = 10000 - 200 + 1\]
\[ = 9801\]
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