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dezoksy [38]
3 years ago
11

What is the difference of the polynomials? (–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Mathematics
2 answers:
ANEK [815]3 years ago
4 0
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,
= <span><span><span><span><span>−<span><span>6x4</span>y</span></span>−<span><span>2x3</span>y2</span></span>+<span><span>9x2</span>y3</span></span>−<span>3xy4</span></span>+y5</span> 

I hope this helps
AnnZ [28]3 years ago
3 1

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

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