Identify the type of algebraic expression we get after simplifying the given expression.
$(6 x y - 8 x + 9 y + 4) - (5 x + 2 y x + 9 y + 4 - x z)$

Monomial

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Trinomial

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Polynomial

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Binomial

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Solution

The correct option is B Trinomial
The given expression is,
$(6 x y - 8 x + 9 y + 4) - (5 x + 2 y x + 9 y + 4 - x z) .$

Simplifying the expression, we get
= $(6 x y - 8 x + 9 y + 4) - 2 x y + x z - 5 x - 9 y - 4)$
Grouping all the like terms, we get,
= $[(6 x y - 2 x y) + x z + (- 8 x - 5 x) + (9 y - 9 y) + (4 - 4)]$
= $(4 x y + x z - 13 x)$
An algebraic expression which has three non zero unlike terms is called a trinomial.
Thus, the given expression is a trinomial.

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