Does this problem:

[(4x^2y + 7x^2y) / 2] × 2xy
Equal 11x^3y^2

yes, the two terms inside the (....) can be added, since they are like terms

the 2 in the denominator would cancel the 2 in the 2xy multiplier, so
(11x^2 y)(xy) = 11x^3 y^2