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27 January, 16:11

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.

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  1. 27 January, 16:26
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    Let be A = 6x6 - x3y4 - 5xy5 and B = 4x5y + 2x3y4 + 5xy5 and when we do their difference, it is A - B = 6x6 - x3y4 - 5xy5 - (4x5y + 2x3y4 + 5xy5) = 6x6 - x3y4 - 5xy5 - 4x5y - 2x3y4 - 5xy5 = 6x6 - x3y4 - 2x3y4 - 5xy5 - 4xy5 - 5xy5=6x6 - 3x3y4 - 14xy5, so the final solution is A - B = 6x6 - 3x3y4 - 14xy5, the degree of this is equal to the degree of - 3x3y4, and it is 3+4=7, the answer is The difference has 3 terms and a degree of 7.
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