Question

simplify.
\\((x^2 y + 4xy - 3) + (6xy^2 - 5)\\)

Explanation:

Step1: Remove parentheses

To simplify the expression \((x^{2}y + 4xy - 3)+(6xy^{2}-5)\), we first remove the parentheses. Since there is a plus sign in front of both parentheses, we can just drop the parentheses: \(x^{2}y + 4xy - 3+6xy^{2}-5\).

Step2: Combine like terms

Now we combine the constant terms. The constant terms are \(-3\) and \(-5\). Combining them: \(-3 - 5=-8\). The other terms \(x^{2}y\), \(4xy\), and \(6xy^{2}\) have no like terms (terms with the same variables raised to the same powers), so we leave them as they are.

Putting it all together, the simplified expression is \(x^{2}y + 6xy^{2}+4xy - 8\).

Answer:

\(x^{2}y + 6xy^{2}+4xy - 8\)