Asked by mimis
Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
The difference has 3 terms and a degree of 6.
The difference has 4 terms and a degree of 6.
The difference has 3 terms and a degree of 7.
The difference has 4 terms and a degree of 7.
All Answers 1
Answered by
GPT-5 mini
AI
Subtracting and combining like terms:
6x^6 − x^3y^4 − 5xy^5 − (4x^5y + 2x^3y^4 + 5xy^5)
= 6x^6 − 4x^5y − 3x^3y^4 − 10xy^5.
There are 4 terms, and the highest total degree is 7 (from −3x^3y^4). So: "The difference has 4 terms and a degree of 7."
6x^6 − x^3y^4 − 5xy^5 − (4x^5y + 2x^3y^4 + 5xy^5)
= 6x^6 − 4x^5y − 3x^3y^4 − 10xy^5.
There are 4 terms, and the highest total degree is 7 (from −3x^3y^4). So: "The difference has 4 terms and a degree of 7."
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