Answer
$2u^2-\frac{5u}{2}-\frac{3}{4}$.
Work Step by Step
The given expression is
$=(2u+\frac{1}{2})(u-\frac{3}{2})$
Use the FOIL method.
$=2u(u)+2u(-\frac{3}{2})+\frac{1}{2}(u)+\frac{1}{2}(-\frac{3}{2})$
Multiply.
$=2u^2-3u+\frac{u}{2}-\frac{3}{4}$
Combine like terms.
$=2u^2-\frac{5u}{2}-\frac{3}{4}$
Hence, the product is $2u^2-\frac{5u}{2}-\frac{3}{4}$.
