(4x^4+3x^3-2x+1) + (5-2x^2+5x^3-x^4) - (6x^2x-3)
To simplify the given expression, we need to combine like terms and perform the operations in the proper order. Here's how you can break down the steps:
Step 1: Remove the parentheses and group like terms.
(4x^4 + 3x^3 - 2x + 1) + (5 - 2x^2 + 5x^3 - x^4) - (6x^2 * x - 3)
Combine like terms within each pair of parentheses:
4x^4 + 3x^3 - 2x + 1 + 5 - 2x^2 + 5x^3 - x^4 - 6x^3 + 3
Step 2: Rearrange the terms to group similar powers of x together.
(4x^4 - x^4) + (3x^3 + 5x^3 - 6x^3) + (-2x^2) + (-2x + 1 + 5 + 3)
Combine like terms within each group:
3x^4 + 2x^3 - 2x^2 - 2x + 9
So, the simplified expression is 3x^4 + 2x^3 - 2x^2 - 2x + 9.