What is the coefficient of the x to the 5th power y to the 5th power -term in the binomial expansion of open paren 2 x minus 3 y close paren to the 10th power ?

By the binomial theorem, the term with five factors of y is \(\binom{10}{5}(2x)^5(-3y)^5\). Its coefficient is \(\binom{10}{5}2^5(-3)^5\), which matches choice A. The coefficient is negative because the factor \((-3)^5\) is negative.

AI-written and checked against the verified answer.