(4x^2-2x-1)-(-3x^3+2)
I already know the answer is 3x^3+4x^2-2x-3 but I need someone to explain how to get to the solution. It would be greatly appreciated.
Combine like terms.
3x^3 (this is a positive because two negatives = a positive
3x*2
-2x
-2 + - 1 = -3
Thank you!
You're welcome.
To simplify the expression (4x^2 - 2x - 1) - (-3x^3 + 2), we can follow these steps:
Step 1: Distribute the negative sign (-) to every term inside the parentheses:
(4x^2 - 2x - 1) + (3x^3 - 2)
Step 2: Combine like terms, meaning we group the terms that have the same variable with the same exponent:
(3x^3 + 4x^2) + (-2x - 1 - 2)
Step 3: Simplify further by adding or subtracting the coefficients of the like terms:
3x^3 + 4x^2 - 2x - 1 - 2
Step 4: Combine the constants (numbers without variables):
3x^3 + 4x^2 - 2x - 3
That's the final answer: 3x^3 + 4x^2 - 2x - 3.