To subtract polynomials, we need to combine like terms by subtracting their coefficients. Here's how we can solve the given problem:
c) (2x - 5y^2 - 5) - (-6x + 2y^2 + 3)
First, we need to rearrange the terms in the second polynomial by changing the signs of each term:
(-6x + 2y^2 + 3) = 6x - 2y^2 - 3
Now, we can subtract the polynomials term by term:
(2x - 5y^2 - 5) - (6x - 2y^2 - 3)
= 2x - 5y^2 - 5 - 6x + 2y^2 + 3
= (2x - 6x) + (-5y^2 + 2y^2) + (-5 - 3)
= -4x - 3y^2 - 8
Therefore, the result of subtracting the given polynomials is:
-4x - 3y^2 - 8
