Simplify the difference. (3w² - 5w - 6) - (6w² + 4w - 2).

Solution:

Given the polynomials (3w² - 5w - 6) - (6w² + 4w - 2)

A polynomial is defined as an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

In order to perform any mathematical operation on polynomials, we need to reorder the terms of same exponential powers.

= (3w² - 5w - 6) - (6w² + 4w - 2)

= 3w² - 5w - 6 - 6w² - 4w + 2

= (3w² - 6w²) - 5w - 4w - 6 + 2

= -3w²- 9w - 4

Now, coefficients of same exponents are added/subtracted together

Therefore, the simplified version of the given expression is -3w²- 9w - 4.