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.

The difference has 4 terms and a degree of 7

Step-by-step explanation:

and

To find the difference of two expressions we need to subtract

Multiply negative sign inside the second parenthesis

combine like terms

The simplified expression has 4 terms

Now to find the degree , we add the exponents of each term

6x^6 has exponent 6

4x^5y has 5+1=6

x^3y^4 has 3+4= 7

So degree is 7

The difference has 4 terms and a degree of 7