Question

Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?

Answer 1

Answer:

The sum is -5x^5y - 6xy^3;  The difference is 11x^5y - 4x^3y^4 - 8xy^3

Step-by-step explanation:

  3x^5y - 2x^3y^4 - 7xy^3

+ -8x^5y + 2x^3y^4 + xy^3

  -5x^5y                   -6xy^3

3x^5y - 2x^3y^4 - 7xy^3 - ( -8x^5y + 2x^3y^4 + xy^3)

Change the signs in the second polynomials when subtracting

3x^5y - 2x^3y^4 - 7xy^3 + ( 8x^5y - 2x^3y^4 - xy^3) =

   11x^5y - 4x^3y^4 - 8xy^3