Simplify the algebraic expression by combining like terms.
(Simplify your answer.)
-5x^2+13x^2=
-5x^2 + 13x^2 simplifies to 8x^2.
To simplify the algebraic expression by combining like terms, we add or subtract the coefficients of the terms with the same variable and exponent.
In this case, we have -5x^2 + 13x^2.
Since both terms have the same variable (x) and exponent (2), we can combine them. To do this, we simply add the coefficients:
-5x^2 + 13x^2 = (13 - 5)x^2
Simplifying further:
(13 - 5)x^2 = 8x^2
Therefore, the simplified expression is 8x^2.