# How do you find the product of 1/2d(2d+6)?

color(maroon)((1/2) d (2d + 6) = d * (d + 3) = d^2 + 3d
$\left(\frac{1}{2}\right) d \left(2 d + 6\right)$
$\implies \cancel{\frac{1}{2}} \cdot d \cdot \cancel{2} \left(d + 3\right)$
$\implies d \cdot \left(d + 3\right) = {d}^{2} + 3 d$