(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! Voilà!
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