Question

Take 2y 2 - 3y - 5 from y ^3 - 6y ^2 + 5y. Select the correct answer.

Answer 1

We will subtract 2y^2-3y-5 from y^3-6y^2+5y

This is written as follows:
y^3-6y^2+5y - (2y^2-3y-5)   
note that the subtraction means that some signs would change as follows:
y^3-6y^2+5y - 2y^2+3y+5
Now we will subtract the coefficients of like terms as follows:
y^3 - y^2(6+2) + y(5+3) + 5
= y^3 - 8y^2 + 8y + 5