与单项式a的n+1次方b的2次方的积,是3a的2n+3次方b的2n+2次方的单项式是?

问题描述:

与单项式a的n+1次方b的2次方的积,是3a的2n+3次方b的2n+2次方的单项式是?

所求单项式=(3a的2n+3次方b的2n+2次方)÷(a的n+1次方b的2次方)
=3的2n+3次方×a的n+2次方×b的2n次方

3a的n+2次方b的2n次方

设所求单项式为A;
则A*[a^(n+1)b^2]=3a^(2n+3)b^(2n+2)
所以:A=[3a^(2n+3)b^(2n+2)]/[a^(n+1)b^2]
=3a^(n+2)b^(2n)