Question

What is the difference of the polynomials?

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

–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

Answer 1

Compute by distributing the minus sign to the second polynomial:

(–2x^3y^2 + 4x^2y^3 – 3xy^4) − (6x^4y – 5x^2y^3 – y^5)
= –2x^3y^2 + 4x^2y^3 – 3xy^4 − 6x^4y + 5x^2y^3 + y^5
Combine like terms:
= –6x^4y – 2x^3y^2 + 9x^2y^3 – 3xy^4 + y^5

So the correct choice is the first one.