To simplify the expression [tex]\(5x^2 + 3x^2\)[/tex], follow these steps:
1. Identify the common variable term: Both terms in the expression [tex]\(5x^2 + 3x^2\)[/tex] have the variable [tex]\(x^2\)[/tex].
2. Sum the coefficients: The coefficients are the numbers in front of the variable term. In this case, the coefficients are 5 and 3 respectively.
3. Add the coefficients together:
[tex]\[
5 + 3 = 8
\][/tex]
4. Combine the sum with the variable term: Attach the combined coefficient to the common variable term [tex]\(x^2\)[/tex]:
[tex]\[
8x^2
\][/tex]
Therefore, the simplified expression is:
[tex]\[
8x^2
\][/tex]
