Question

add.
$(3d^{2} + 2) + (2d^{3} + 2d^{2} + 4d)$

Explanation:

Step1: Remove parentheses

To add the two polynomials, we first remove the parentheses. The expression becomes \(3d^{2}+2 + 2d^{3}+2d^{2}+4d\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for \(d^{2}\) are \(3d^{2}\) and \(2d^{2}\). Combining them gives \(3d^{2}+2d^{2}=5d^{2}\). The other terms \(2d^{3}\), \(4d\), and \(2\) remain as they are since there are no other like terms for them. So putting it all together, we have \(2d^{3}+5d^{2}+4d + 2\).

Answer:

\(2d^{3}+5d^{2}+4d + 2\)