Answer:
[tex] y^2 + 8y + 16 [/tex]
Step-by-step explanation:
[tex] (6y^2 + 2y + 5) - (5y^2 - 6y - 11) = [/tex]
The first set of parentheses is unnecessary, so it can just be removed.
[tex] = 6y^2 + 2y + 5 - (5y^2 - 6y - 11) [/tex]
To remove the second set of parentheses, you must distribute the negative sign that is to its left. It changes every sign inside the parentheses.
[tex] = 6y^2 + 2y + 5 - 5y^2 + 6y + 11 [/tex]
Now you combine like terms.
[tex] = 6y^2 - 5y^2 + 2y + 6y + 5 + 11 [/tex]
[tex] = y^2 + 8y + 16 [/tex]
