Determine the difference of the polynomials below.

Question

(7y^2-6y)-(-5y^2-4y+8)=

Answer 1

To determine the difference of the polynomials, we need to subtract the second polynomial from the first polynomial.

(7y^2-6y)-(-5y^2-4y+8)

To subtract a polynomial, we distribute the negative sign to all the terms inside the parentheses:

(7y^2-6y)+(5y^2+4y-8)

Now we can combine like terms:

7y^2 + 5y^2 - 6y + 4y - 8

This simplifies to:

12y^2 - 2y - 8

Therefore, the difference of the polynomials is 12y^2 - 2y - 8.