Question

Please help another one
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Answer 1

1)
`x^(2)\cdot y` - It is a monomial with two variables:
`x`,
`y`

2)
`3\cdot x^(3)+x^(3)` - It is binomial reductible to a monomial due to like terms. Number of variables:
`x`

3)
`a^(2)\cdot b^(3)\cdot c^(4)` - It is a monomial with three variables:
`a`,
`b`,
`c`

4)
`2\cdot x^(2)-3=n` - It is binomial equivalent to a monomial. Number of variables:
`x`,
`n`.

5)
`x^(2)-y+2\cdot x^(2) = 3` - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables:
`x`,
`y`

Explanation:

We proceed to explain the context on each case and answer appropriately:

1)
`x^(2)\cdot y` - It is a monomial with two variables:
`x`,
`y`

2)
`3\cdot x^(3)+x^(3)` - It is binomial reductible to a monomial due to like terms. Number of variables:
`x`

3)
`a^(2)\cdot b^(3)\cdot c^(4)` - It is a monomial with three variables:
`a`,
`b`,
`c`

4)
`2\cdot x^(2)-3=n` - It is binomial equivalent to a monomial. Number of variables:
`x`,
`n`.

5)
`x^(2)-y+2\cdot x^(2) = 3` - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables:
`x`,
`y`