Question

Note: Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form in the space provided.

Simplify:
(9x^3+2x^2−5x+4)−(5x^3−7x+4)

Answer 1

[AI-generated answer — Bot]

To simplify the expression:

(9x^3+2x^2−5x+4)−(5x^3−7x+4)

We need to distribute the negative sign to everything inside the second set of parentheses:

9x^3+2x^2−5x+4−5x^3+7x-4

Then, we can combine like terms:

(9x^3 - 5x^3) + 2x^2 + (-5x + 7x) + (4 - 4)

4x^3 + 2x^2 + 2x

Finally, we can factor out a 2x from the last two terms:

2x (2x^2 + 1)

Therefore, the final answer, in factored form, is:

2x (2x^2 + 1)