Question

What is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Answer 1

Answer: a

Explanation:

Answer 2

`-6x^4-2x^3y^2+9x^2y^3-3xy^4+y^5`

Explanation:

We have to find the difference of the polynomials

`(-2x^3y^2+4x^2y^3-3xy^4)-(6x^4-5x^2y^3-y^5)`

Let us distribute the negative over the parenthesis

`-2x^3y^2+4x^2y^3-3xy^4-6x^4+5x^2y^3+y^5`

Now, group the like terms

`-2x^3y^2+(4x^2y^3+5x^2y^3)-3xy^4-6x^4+y^5`

Combine the like terms

`-2x^3y^2+9x^2y^3-3xy^4-6x^4+y^5`

Rearrange the polynomial, we get

`-6x^4-2x^3y^2+9x^2y^3-3xy^4+y^5`