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To find the difference of the two polynomials, we subtract the second polynomial from the first polynomial:
(6x^3 – 2x^2 + 4) - (2x^3 + 4x^2 - 5)
Subtracting like terms, we get:
6x^3 - 2x^2 + 4 - 2x^3 - 4x^2 + 5
Combining like terms, we have:
(6x^3 - 2x^3) + (-2x^2 - 4x^2) + (4 + 5)
4x^3 - 6x^2 + 9
Therefore, the difference of the two polynomials is 4x^3 - 6x^2 + 9.