What Is The Difference Of The Polynomials?, (20132x^3y^2 + 4x^2y^3 2013 3xy^4) 2013 (6x^4y 2013 5x^2y^3 2013 Y^5)

What Is The Difference Of The Polynomials?, (20132x^3y^2 + 4x^2y^3 2013 3xy^4) 2013 (6x^4y 2013 5x^2y^3 2013 Y^5)

What is the difference of the polynomials?
(–2x^3y^2 + 4x^2y^3 – 3xy^4) – (6x^4y – 5x^2y^3 – y^5)

Answer:

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

Step-by-step explanation:

Multiply the $6x^{2} -5x^{2} y^{3} -x^{y}$ with -1

$-1(6x^{4}y- 5x^{2} y^{3} -y^{5} )$
$-6x^{4} y+5x^{2} y^{3} +y^{5}$

Subtract by using $ax^{2} y^{2} -bx^{2} y^{2} =(a-b)x^{2} y^{2}$

$(-6)x^{4} y(-2)x^{3} y^{3} (4+5)x^{2} y^{3} (-3)xy^{4} +(1)y^{5}$
$-6x^{4} y-2x^{3} y^{2} +9x^{2} y^{3} -3xy^{4} +y^{5}$

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