Question

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 + 44x 2 y + 17 and y 3 - 11xy 2 + 2x 2 y - 13x 3?

A.y 3 - 6x 3 + 33x 2y + 2x 2y + 17
B.20x 3 - y 3 + 33x 2y + 2x 2y + 17
C.31x 3 - 6x 3 + 44x 2y + 11x 2y + 17
D.32x 3 - y 3 + 42x 2y + 11x 2y + 17

Answer 1

32 x^3 - y^3 + 42 x 2y + 11 xy^2 + 17

Answer 2

19x^3 + 44x^2 y + 17 -(y^3 - 11xy^2 + 2x^2 y - 13x^3)

=19x^3 + 44x^2 y + 17 -y^3 + 11xy^2 - 2x^2 y + 13x^3
= 32x^3 - y^3 + 42x^2 y + 11xy^2 + 17

answer is

32x^3 - y^3 + 42x^2 y + 11xy^2 + 17