Which of the following is a trinomial?

$x$

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$a b$

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$a + b$

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$x^{2} + 2 x y + y^{2}$

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Solution

The correct option is D
$x^{2} + 2 x y + y^{2}$

$x$ has one term in it, and it is a monomial.
$a b$ has two variables. But since they are a product, the number of terms is just one. Hence it is a monomial.
$x + y$ is a binomial.
$x^{2} + 2 x y + y^{2}$ has three unlike terms and hence it is a trinomial.

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