Question

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+

44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17

Answer 1

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

Explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

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

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

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