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Find the Product of the Following Binomial: (A + 2b)(A − 2b)

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Question

Find the product of the following binomial:  (a + 2b)(a − 2b)

Answer in Brief
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Solution

 We will use the identity

\[\left( a + b \right)\left( a - b \right) = a^2 - b^2\] in the given expression to find the product.

\[\left( a + 2b \right)\left( a - 2b \right)\]

\[ = a^2 - \left( 2b \right)^2 \]

\[ = a^2 - 4 b^2\]

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