Question

若关于xy的单项式2ax的m次方y与单项式3bx的2m-3次方是同类项,且a,b不为0.

2ax的2m-3次方y+3bx的m次方y=0，且xy不等于0，求2a-3b分之a+5b

Answer 1

∵2ax的m次方y与单项式3bx的2m-3次方是同类项
∴m=2m-3
m=3
2ax的2m-3次方y+3bx的m次方y=0
2ax³y+3bx³y=0
(2a+3b)x³y=0
2a+3b=0
a=-3/2b
(a+5b)/(2a-3b)
=(-3/2b+5b)/[2*(-3/2b)-3b]
=-7/12