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Question
Find the product of the following binomial: \[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]
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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.
\[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]
\[ = \left( 2x \right)^2 - \left( \frac{3}{y} \right)^2 \]
\[ = 4 x^2 - \frac{9}{y^2}\]
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