Answer
6$m^{5}$ + $\frac{1}{4}$$m^{4}$ - $\frac{1}{8}$$m^{3}$
Work Step by Step
1. FOIL (excluding $m^{3}$)
(2m - 1/4)(3m + 1/2) = 2m(3m) + 2m(1/2) - (1/4)(3m) - (1/4)(1/2)
2. Multiply.
6$m^{2}$ + m - $\frac{3}{4}$m - $\frac{1}{8}$
3. Add like terms.
6$m^{2}$ + $\frac{1}{4}$m - $\frac{1}{8}$
4. Multiply each term by $m^{3}$
6$m^{5}$ + $\frac{1}{4}$$m^{4}$ - $\frac{1}{8}$$m^{3}$