Certainly! To simplify the expression [tex]\(5de^2 + 4de^2 + (-6de^2)\)[/tex], follow these steps:
1. Identify Like Terms:
All the terms in the given expression are like terms because they each contain the same variable part, [tex]\(de^2\)[/tex].
2. Combine Like Terms:
We can factor out the common variable term [tex]\(de^2\)[/tex] and then combine the coefficients (numerical parts) of each term.
[tex]\[
5de^2 + 4de^2 + (-6de^2) = (5 + 4 - 6)de^2
\][/tex]
3. Add/Subtract the Coefficients:
Now we perform the arithmetic operation inside the parentheses:
[tex]\[
5 + 4 - 6 = 3
\][/tex]
4. Simplify the Expression:
Substitute the result back into the expression:
[tex]\[
(5 + 4 - 6)de^2 = 3de^2
\][/tex]
So, the simplified expression is:
[tex]\[
3de^2
\][/tex]
This tells us that combining the terms [tex]\(5de^2\)[/tex], [tex]\(4de^2\)[/tex], and [tex]\(-6de^2\)[/tex] results in [tex]\(3de^2\)[/tex].
