Question

Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]

Answer 1

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

\[\left( x + \frac{1}{5} \right)\left( x + 5 \right)\]

\[ = x^2 + \left( \frac{1}{5} + 5 \right)x + \frac{1}{5} \times 5\]

\[ = x^2 + \frac{26}{5}x + 1\]