Question

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3

Answer 1

A. n6 + 7mn5 + 14m2n4 - 5m3n3 - 6m6

Explanation:

Answer is A for Edge AI

Answer 2

`-6m^(6)+n^(6)+7mn^(5)+14m^(2)n^(4)-5m^(3)n^(3)`

Explanation:

given polynomial is:

`8mn^(5)-2m^(6)+5m^(2)n^(4)-m^(3)n^(3)+n^(6)-4m^(6)+9m^(2)n^(4)- mn^(5)-4m^(3)n^(3)`

write similar terms together,

`-2m^(6)-4m^(6)+n^(6)+8mn^(5)-mn^(5)+5m^(2)n^(4)+9m^(2)n^(4)-m^(3)n^(3)-4m^(3)n^(3)`

`-6m^(6)+n^(6)+7mn^(5)+14m^(2)n^(4)-5m^(3)n^(3)`

Hence, polynomial in standard form
`-6m^(6)+n^(6)+7mn^(5)+14m^(2)n^(4)-5m^(3)n^(3)`