question_answer 1)

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

Answer:

                (i) \[4y-7z.\]This expressions is a binomial because it contains two terms: \[4y\] and \[-\text{ 7z}\]. (ii) \[{{y}^{2}}.\] This expression is a monomial because it contains only one term: \[{{\text{y}}^{\text{2}}}\] (iii) \[x+y-xy.\] This expression is a trinomial because it contains three terms: \[x,\text{ }y\] and \[-\text{ }xy.\] (iv) 100. This expression is a monomial because it contains only one term: 100 (v) \[ab-a-b.\] This expression is a trinomial because it contains three terms: \[\text{ab},-\text{ a}\] and \[-\text{ b}\]. (vi) \[5-3t.\] This expression is a binomial because it contains two terms: 5 and \[-3t\]. (vii) \[4{{p}^{2}}q-4p{{q}^{2}}.\]This expression is a binomial because it contains two terms: \[\text{4}:{{\text{p}}^{\text{2}}}\text{q}\] and \[-\text{ 4p}{{\text{q}}^{\text{2}}}\]. (viii) 7mb. This expression is a monomial because it contains only one term: 7mn. (ix) \[{{z}^{2}}-3z+8.\] This expression is a trinomial because it contains three terms: \[{{z}^{2}},-3z\] and 8. (x) \[{{a}^{2}}+{{b}^{2}}.\] This expression is a binomial because it contains two terms: \[{{\text{a}}^{\text{2}}}\] and  \[{{b}^{\text{2}}}\]. (xi) \[{{z}^{2}}+z.\] This expression is a binomial because it contains two terms: \[{{\text{z}}^{\text{2}}}\] and \[z\]. (xii) \[1+x+{{x}^{2}}.\] This expression is a trinomial because it contains three terms: \[1,x\]and \[{{x}^{2}}\].