Question

add.
(5m + 3) + (5m² + 2)

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. Since there are no negative signs outside the parentheses to distribute, we can directly write the terms as they are: \(5m + 3 + 5m^2 + 2\).

Step2: Combine like terms

Next, we combine the constant terms (the terms without variables). The constant terms here are \(3\) and \(2\). Adding them together: \(3 + 2 = 5\). The terms with \(m\) (\(5m\)) and the term with \(m^2\) (\(5m^2\)) do not have like terms to combine with, so we leave them as is. Now we arrange the terms in descending order of the degree of the variable (from highest power to lowest power). The term with \(m^2\) is \(5m^2\), the term with \(m\) is \(5m\), and the constant term is \(5\). So the combined polynomial is \(5m^2 + 5m + 5\).

Answer:

\(5m^2 + 5m + 5\)