Given the expression:
[tex](x^2-4x^3)+(5x^3+3x^2)[/tex]
You can simplify it as follows:
1. Distribute the positive sign. Since the sign between the parentheses is positive, it does not change the signs of the second parentheses:
[tex]=x^2-4x^3+5x^3+3x^2[/tex]
2. Add the like terms.
By definition, like terms have the same variables with the same exponent.
In this case, you need to add the terms with exponent 3 and add the terms with exponent 2. Notice that:
[tex]\begin{gathered} -4x^3+5x^3=x^3 \\ \\ x^2+3x^2=4x^2 \end{gathered}[/tex]
Then, you get:
[tex]=x^3+4x^2[/tex]
Hence, the answer is:
[tex]=x^3+4x^2[/tex]
