Question

What is the difference of the polynomials?

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

Answer 1

For the answer to the question above, I'll provide my solutions to my answers for the problem below.

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

(−2x3)(y2)+4x2y3+−3xy4+−1(6x4y)+−1(−5x2y3)+−1(−y5)

(−2x3)(y2)+4x2y3+−3xy4+−6x4y+5x2y3+y5

−2x3y2+4x2y3+−3xy4+−6x4y+5x2y3+y5

−2x3y2+4x2y3+−3xy4+−6x4y+5x2y3+y5

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

−6x4y+−2x3y2+9x2y3+−3xy4+y5
So the answer is,
= −6x4y−2x3y2+9x2y3−3xy4+y5 

I hope this helps

Answer 2

Answer:

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

Step-by-step explanation:

Like terms are those terms which have same variables and have same powers.

To find the difference of the polynomials:

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

Remove the bracket:

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

Combine like terms, we have;

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

Therefore, the  difference of the given polynomials is, $-2x^3y^2 + 9x^2y^3 -3xy^4 -6x^4y + y^5$