To simplify this expression, we need to distribute the negative sign to every term inside the second set of parentheses:
(9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
Next, we need to combine like terms:
(9x^3 - 5x^3) + (2x^2) + (-5x + 7x) + (4 - 4)
= 4x^3 + 2x^2 + 2x
Finally, we can factor out a common term of 2x:
2x(2x^2 + x + 1)
Therefore, the simplified expression in factored form is 2x(2x^2 + x + 1).
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)
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