Answer
$q^2-\frac{1}{2}q-\frac{3}{16}$.
Work Step by Step
The given expression is
$=(q-\frac{3}{4})(q+\frac{1}{4})$
Use the FOIL method.
$=q(q)+q(\frac{1}{4})-\frac{3}{4}(q)-\frac{3}{4}(\frac{1}{4})$
Multiply.
$=q^2+\frac{1}{4}q-\frac{3}{4}q-\frac{3}{16}$
Combine like terms.
$=q^2-\frac{1}{2}q-\frac{3}{16}$
Hence, the product is $q^2-\frac{1}{2}q-\frac{3}{16}$.
