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Question
Using the formula for squaring a binomial, evaluate the following: (999)2
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Solution
Here, we will use the identity \[\left( a - b \right)^2 = a^2 - 2ab + b^2\]
\[\left( 999 \right)^2 \]
\[ = \left( 1000 - 1 \right)^2 \]
\[ = \left( 1000 \right)^2 - 2 \times 1000 \times 1 + 1^2 \]
\[ = 1000000 - 2000 + 1\]
\[ = 998001\]
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