What is the difference of the following polynomials?
(6x3 – 2x2 + 4)
– (2x3 + 4x2 – 5)
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To find the difference of the two polynomials, we need to subtract the second polynomial from the first.
Given polynomial 1: 6x^3 - 2x^2 + 4
Given polynomial 2: -(2x^3 + 4x^2 - 5)
Now, let's subtract the second polynomial from the first:
6x^3 - 2x^2 + 4 - (2x^3 + 4x^2 - 5)
To subtract the polynomials, we will change the signs of all terms in the second polynomial and then combine like terms:
6x^3 - 2x^2 + 4 - 2x^3 - 4x^2 + 5
Now, let's combine like terms:
(6x^3 - 2x^3) + (-2x^2 - 4x^2) + (4 + 5)
This simplifies to:
4x^3 - 6x^2 + 9
Therefore, the difference of the given polynomials is 4x^3 - 6x^2 + 9.