Respuesta :
Answer:
This not true because the monomial may have the same degree, but different variables. So, Rebecca forgot to include the variables and the number variables when determining her answer. Keep in mind the variable also determines the like terms. Ex: 5y^2 and 5x^2 aren't like terms just because the degrees are the same. Good luck.
Step-by-step explanation:
Its not true because variables might be different.
Given that:
Rebecca says " All monomials with same degree are like terms"
What are like terms?
In algebra, like terms are those terms which have got same variable and same exponent(also called power or degree if that's the only variable) of that variable.
What are monomials?
Monomial are single termed polynomials.
If we take [tex]y^3[/tex] and [tex]3x^3[/tex], then both of these expressions are monomial and have same degree, but both the monomials are unlike. It is because they have got different variables (assuming y!=x, which is the usual case).
Thus, Rebecca is wrong since there might be cases when variables of monomial are different, then in those cases, the monomials are unlike.
Learn more about monomials here:
https://brainly.com/question/102541