whats the difference of the following polynomials?

(6x^3-2x^2+4)
-(2x^3+4x^2-5)

1 answer

To find the difference of the two polynomials, we need to distribute the negative sign to every term in the second polynomial:

(6x^3 - 2x^2 + 4) - (-2x^3 - 4x^2 + 5)

Simplifying,

6x^3 - 2x^2 + 4 + 2x^3 + 4x^2 - 5

Grouping like terms,

(6x^3 + 2x^3) + (-2x^2 + 4x^2) + (4 - 5)

Combining like terms,

8x^3 + 2x^2 - 1

So, the difference of the two polynomials is 8x^3 + 2x^2 - 1.