Question

$( - 4x ^{3} + 5x ^{2} + 3x - 8) + ( - 4x {3} + 5x ^{2} + 3x + 8)$

Answer 1

$-8x^{3} +10x^{2} + 6x$

Combine like terms (terms with same variable and exponents) to solve problem.

Answer 2

$( - 4x ^{3} + 5x ^{2} + 3x - 8) + ( - 4x^{3} + 5x ^{2} + 3x + 8)$

Remove the brackets:

$= - 4x ^{3} + 5x ^{2} + 3x - 8 - 4x^{3} + 5x ^{2} + 3x + 8$

Combine like terms:

$= - 8x ^{3} + 10x ^{2} + 6x$

Take out common term -2x:

$= - 2x(4x ^{2} -5x- 3)$