Answer :

Given: An expression

[tex](-54x^5+35x^3-61)+(5x^5-69x^3-7)[/tex]

Required: To find the sum of the given expression.

Explanation: In algebraic expressions, we add or subtract only the like terms. Like terms are those terms that have the same exponents in their variable. Hence

[tex](-54x^5+5x^5+35x^3-69x^3-61-7)[/tex]

which gives

[tex](-49x^5-34x^3-68)[/tex]

Final Answer: The sum of the given expression is

[tex](-49x^5-34x^3-68)[/tex]