Question

What is the sum of `3x ^ { 3} - 2x ^ { 2} + 3x - 8` and `- 5x ^ { 3} - 4x ^ { 2} - x - 9`?

Answer 1

Se a solution process below:

Explanation:

First, we need to write this question in algebraic form:

`(3x^3 - 2x^2 + 3x - 8) + (-5x^3 - 4x^2 - x - 9)`

Next, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

`3x^3 - 2x^2 + 3x - 8 - 5x^3 - 4x^2 - x - 9`

Then, group like terms:

`3x^3 - 5x^3 - 2x^2 - 4x^2 + 3x - x - 8 - 9`

Now, combine like terms:

`3x^3 - 5x^3 - 2x^2 - 4x^2 + 3x - 1x - 8 - 9`

`(3 - 5)x^3 + (-2 - 4)x^2 + (3 - 1)x + (-8 - 9)`

`-2x^3 + (-6)x^2 + 2x + (-17)`

`-2x^3 - 6x^2 + 2x - 17`