## Algebra and Trigonometry 10th Edition

$360x^3y^2$
According to the Binomial Theorem we can obtain the $r+1$th term of the expansion of the binomial $(x+y)^n$ by the formula $_nC_rx^{n-r}y^r$. Hence here it is: (by plugging in $n=5,r=2$ and $x,-6y$): $_{5}C_2(x)^{5-2}(-6y)^2=10x^3(36y^2)=360x^3y^2$