Classify into monomials, binomials and trinomials.
$(i)$. $4y-7z$
$(ii)$. $y^2$
$(iii)$. $x+y-xy$
$(iv)$. $100$
$(v)$. $ab-a-b$
$(vi)$. $5-3t
$(viii)$. $4p^2q-4pq^2$ $(viii)$. $7mn$
$(ix)$. $z^2-3z+8$
$(x)$. $a^2+b^2$
$(xi)$. $z^2+z$
$(xii)$. $1+x+x^2$

Given: $(i)$. $4y-7z$

$(ii)$. $y^2$

$(iii)$. $x+y-xy$

$(iv)$. $100$

$(v)$. $ab-a-b$

$(vi)$. $5-3t$

$(viii)$. $4p^2q-4pq^2$

 

$(viii)$. $7mn$

$(ix)$. $z^2-3z+8$

$(x)$. $a^2+b^2$

$(xi)$. $z^2+z$

$(xii)$. $1+x+x^2$

To do: To classify the given terms into monomials, binomials, and trinomials.

 Solution: The expressions having a single term in the most simplified form are called monomials. 

The expressions having exactly two terms in the most simplified form are called binomials. 

The expressions having exactly three terms in the most simplified form are called trinomials. 

 $(i)$. $4y-7z$: Binomial

$(ii)$. $y^2$: Mononomial

$(iii)$. $x+y-xy$: Trinomial

$(iv)$. $100$: Mononomial

$(v)$. $ab-a-b$: Trinomial

$(vi)$. $5-3t$: Binomial

$(viii)$. $4p^2q-4pq^2$: Binomial

 

$(viii)$. $7mn$: Mononomial

$(ix)$. $z^2-3z+8$: Trinomial

$(x)$. $a^2+b^2$: Binomial

$(xi)$. $z^2+z$: Binomial

$(xii)$. $1+x+x^2$: Trinomial