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Question
Find the product of the following binomial: (2a3 + b3)(2a3 − b3)
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.
\[\left( 2 a^3 + b^3 \right)\left( 2 a^3 - b^3 \right)\]
\[ = \left( 2 a^3 \right)^2 - \left( b^3 \right)^2 \]
\[ = 4 a^6 - b^6\]
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