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Question
Using the formula for squaring a binomial, evaluate the following: (102)2
Solution
Here, we will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\].
\[\left( 102 \right)^2 \]
\[ = \left( 100 + 2 \right)^2 \]
\[ = \left( 100 \right)^2 + 2 \times 100 \times 2 + 2^2 \]
\[ = 10000 + 400 + 4\]
\[ = 10404\]
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