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Question
Write the following square of binomial as trinomial: (2m + 1)2
Solution
We will use the identities
\[\left( a + b \right)^2 = a^2 + 2ab + b^2 \text { and } \left( a - b \right)^2 = a^2 - 2ab + b^2\] to convert the squares of binomials as trinomials.
\[\left( 2m + 1 \right)^2 \]
\[ = \left( 2m \right)^2 + 2\left( 2m \right)\left( 1 \right) + 1^2 \]
\[ = 4 m^2 + 4m + 1\]
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