Question

Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]

Answer 1

 Here, we will use the identity​ \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].

\[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]

\[ = x^2 + \left( \frac{4}{3} + \frac{3}{4} \right)x + \frac{4}{3} \times \frac{3}{4}\]

\[ = x^2 + \frac{25}{12}x + 1\]