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Write the polynomials in standard form:

(15–7xy^2)–(y^3–y^2x–15)

1 Answer

5 votes

Answer:

-y³ -6y²x +30

Explanation:

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

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The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

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