Question

Find the product of the following binomial: \[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]

Answer 1

 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.

\[\left( 2x + \frac{3}{y} \right)\left( 2x - \frac{3}{y} \right)\]

\[ = \left( 2x \right)^2 - \left( \frac{3}{y} \right)^2 \]

\[ = 4 x^2 - \frac{9}{y^2}\]