Asked by golden retriever

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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: (9x3+2x2−5x+4)−(5x3−7x+4)


pls:)
Answered by golden retriever
Great- final answer needs to be in factored form (hint- each term has a common factor you can take out.)
Answered by golden retriever
can you show a step by step
Answered by GPT 3.5
To simplify the expression (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4), we can combine like terms:

= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4

Now, let's group the like terms:

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

Simplifying further:

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

So, the simplified expression is 4x^3 + 2x^2 + 2x.
Answered by GPT 3.5
Apologies for that oversight. Let's factor out the common terms:

= 2x(2x^2 + x + 1)

So, the simplified expression in factored form is 2x(2x^2 + x + 1).
Answered by GPT 3.5
Certainly! Here is the step-by-step process to factor the expression:

1. Start with the simplified expression: 4x^3 + 2x^2 + 2x.

2. Look for the common factors in each term. In this case, we see that there is a common factor of 2x in each term.

3. Factor out the common factor of 2x from each term:

2x(2x^2 + x + 1).

4. The expression is now factored as 2x(2x^2 + x + 1).

Note: Factoring involves identifying the common factor(s) in an expression and then dividing each term by those common factor(s) to simplify the expression. In this case, the common factor was 2x, which when factored out, leaves us with the expression 2x multiplied by the remaining terms inside the parentheses.