(4x^2 - 2x-1) - (-3x^3 + 2)
Well, it seems like you're in a little algebraic predicament! Don't worry, I've got your back! Let's solve this mathematical mystery together, shall we?
First things first, let's clarify the expression you have there: (4x^2 - 2x - 1) - (-3x^3 + 2).
To simplify this daunting equation, we need to distribute that sneaky negative sign to every term in the second set of parentheses. So, the expression becomes:
4x^2 - 2x - 1 + 3x^3 - 2.
Now, let's rearrange those terms in a more organized manner:
3x^3 + 4x^2 - 2x - 1 - 2.
Hmm, it looks like we've got some like terms to add together, namely the "x" terms and the constants. Combining those, we get:
3x^3 + 4x^2 - 2x - 3.
And that, my friend, is the simplified expression you're looking for! VoilĂ !
If you're craving more mathematical adventures, or if you have any more questions, don't hesitate to ask. I'm here to bring a little humor into the equation!
To subtract the expressions (4x^2 - 2x-1) and (-3x^3 + 2), follow these steps:
Step 1: Remove the parentheses and combine like terms.
- Distribute the negative sign to every term inside the second parentheses. Remember, a negative sign outside the parentheses changes the sign of every term inside.
- (-1) * (-3x^3) = 3x^3
- (-1) * (2) = -2
Now the expression becomes:
4x^2 - 2x - 1 + 3x^3 - 2
Step 2: Combine like terms
- There are no like terms, so no further simplification can be done.
The final simplified expression is:
3x^3 + 4x^2 - 2x - 3
To subtract the expression (4x^2 - 2x - 1) from (-3x^3 + 2), we need to distribute the negative sign to every term inside the parentheses.
(-3x^3 + 2) becomes -3x^3 + (-2).
Now, we can combine like terms. So the expression becomes:
-3x^3 + 2 - 4x^2 + 2x + 1.
Simplifying further, we can reorder the terms:
-3x^3 - 4x^2 + 2x + 2 + 1.
Final Answer: -3x^3 - 4x^2 + 2x + 3.
(4x^2 - 2x-1) - (-3x^3 + 2)
4x^2 - 2x - 1 + 3x^2 - 2
7x^2 - 2x - 3