Question

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Find the difference of (−5x^2 − 4x^3 − 3) − (9x^3 + 3x − 8x^2). Be sure to show all of your work in a neat and organized fashion.

Answer 1

−5x^2 − 4x^3 − 3) − (9x^3 + 3x − 8x^2)
= −5x^2 − 4x^3 − 3 − 9x^3 − 3x + 8x^2
Combine like terms:
= (−4 − 9)x^3 + (−5 + 8)x^2 − 3x − 3
= −13x^3 + 3x^2 − 3x − 3

Answer 2

(−5x2 − 4x3 − 3) − (9x3 + 3x − 8x2)
=
(−5x2 − 4x3 − 3) + −1(9x3 + 3x − 8x2)

Answer 3

distribute the -1 then remove the brackets and find the difference

Answer 4

combine like terms