Question

Raj fully simplified the polynomial and then put it in standard form with the last term being 6y3.

2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3

What is the first term of the polynomial Raj ended up with?

Answer 1

so than the last term is 6y^3 than the first term must being 6x^3 

Answer 2

`6x^3`

Explanation:

The given expression is

`2x^2y+8x^3-xy^2-2x^3+3xy^2+6y^3`

Collate the like terms

`(8x^3-2x^3)+(3xy^2-xy^2)+2x^2y+6y^3`

Combine the like terms, we get

`6x^3+2xy^2+2x^2y+6y^3`

Here the last term is
`6y^3`

And the first term is
`6x^3`

Therefore, Raj is ended up with the first term
`6x^3`