Difference in the following polynomials (6x^3 - 2x^2 + 4)
-(2x^3 + 4x^2 - 5)

B. 3m^6 - 3m^3 - 2m^2

Step-by-step explanation:

Step 1: (6m^8 - 6m^5 - 4m^4)/2m^2

Step 2: (6m^8/2m^2) + (-6m^5/2m^2) + (-4m^4/2m^2)

Step 3: 3m^6 - 3m^3 - 2m^2

1) Given equation

2) You can imagine this fraction as (6m^8 - 6m^5 - 4m^4) multiplied by 1/(2m^2), so you can think of it like multiplying a monomial by a trinomial where you multiply the monomial by each term. In this step you multiply 1/(2m^2) by each of the terms in the trinomial.

3) In this step, you divide the terms in the parenthesis. You first divide the constants (ex: 6÷2=3 in (6m^8/2m^2)), and then you divide the variable exponents (ex: m^8÷m^2=m^6 in (6m^8/2m^2)).