Question

已知多项式-1/5x平方y m+1次方+1/2xy平方-4x立方+6是六次四项式,单项式4.5x立方y5-

Answer 1

由-1/5x²y^(m+1)+1/2xy²-4x³+6是六次四项式,

∴2+m+1=6,即m=3,

又4.5x³y^(5-n)也是六次,

∴3+5-n=6,即n=2.

∴m²+n²

=3²+2²

=13.