解:
(x-y)的8次方÷(y-x)的7次方+(-x-y)的13次方÷(x+y)的15次方
=-(x-y)^8÷(x-y)^7-(x+y)^13÷(x+y)^15
=-(x-y)-(x+y)-²
(3x+y)的m+1次方÷(3x+y)的m-3次方÷(3x+y)的2次方
=(3x+y)^(m+1-m+3-2)
=(3x+y)²
(x-y)^8÷(y-x)^7+(-x-y)^13÷(x+y)^15
=(y-x)^8÷(y-x)^7-(x+y)^13÷(x+y)^15
=(y-x)-1/(x+y)²
(3x+y)^(m+1)÷(3x+y)^(m-3)÷(3x+y)²
=(3x+y)^[(m+1)-(m-3)-2]
=(3x+y)²