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Question
Find the product of the following binomial: (2x + y)(2x + y)
Solution
We will use the identity \[\left( a + b \right)^2 = a^2 + 2ab + b^2\] in the given expression to find the product.
\[\left( 2x + y \right)\left( 2x + y \right)\]
\[ = \left( 2x + y \right)^2 \]
\[ = \left( 2x \right)^2 + 2\left( 2x \right)\left( y \right) + y^2 \]
\[ = 4 x^2 + 4xy + y^2\]
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