Question
If we add a monomial and binomial, then answer can never be a monomial.

Answer

False.
Solution:
If we add a monomial and a binomial, then answer can be a monomial, e.g. Add $x^2$ and $-x^2+y^2
=x^2+\left(-x^2+y^2\right)
=x^2-x^2+y^2
=y^2$
Hence, the answer is monomial.

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