(6x4 – 3x + 5) – (3x4 + 4x3 – 6x2 + 1)
3x4 – 4x3 ++ 6x2 – 3x + 4
To solve this expression, we need to simplify it by combining like terms and performing the subtraction operation. Let's break it down step-by-step:
Step 1: Distribute the negative sign in front of the second parentheses.
- (3x^4 + 4x^3 - 6x^2 + 1)
Distributing the negative sign gives us:
-3x^4 - 4x^3 + 6x^2 - 1
Now we have:
(6x^4 - 3x + 5) - (3x^4 + 4x^3 - 6x^2 + 1)
Simplifying further:
Step 2: Combine like terms.
6x^4 - 3x + 5 - 3x^4 - 4x^3 + 6x^2 - 1
Combining like terms, we get:
(6x^4 - 3x^4) + (-4x^3) + (6x^2) + (-3x) + 5 - 1
Simplifying further:
3x^4 - 4x^3 + 6x^2 - 3x + 4
Therefore, the simplified expression is 3x^4 - 4x^3 + 6x^2 - 3x + 4.