Question

simplify.
$(y^{2} - 7y - 2) + (4y^{2} - 5y + 6)$

Explanation:

Step1: Remove parentheses

Since we are adding two polynomials, we can remove the parentheses directly: \(y^{2}-7y - 2+4y^{2}-5y + 6\)

Step2: Combine like terms

For the \(y^{2}\) terms: \(y^{2}+4y^{2}=5y^{2}\)
For the \(y\) terms: \(-7y-5y=-12y\)
For the constant terms: \(-2 + 6=4\)
Putting it all together, we get \(5y^{2}-12y + 4\)

Answer:

\(5y^{2}-12y + 4\)