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Question
Write the following square of binomial as trinomial: (8a + 3b)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.
\[ \left( 8a + 3b \right)^2 \]
\[ = \left( 8a \right)^2 + 2\left( 8a \right)\left( 3b \right) + \left( 6b \right)^2 \]
\[ = 64 a^2 + 48ab + 36 b^2\]
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