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

Monomial

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Binomial

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Trinomial

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Polynomial

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Solution

The correct option is B Binomial
The given expression is,
$(6 x^{2} - 8 x + 9 y^{2} + 4) - (5 x^{2} + 2 x + 6 y^{2} + 4 + x^{2})$
Simplifying the expression, we get
$(6 x^{2} - 8 x + 9 y^{2} + 4) - (6 x^{2} + 2 x + 6 y^{2} + 4)$
Grouping all like terms, we get,
$(6 x^{2} - 6 x^{2}) + (9 y^{2} - 6 y^{2}) + (- 8 x - 2 x) + (4 - 4)$
$= 3 y^{2} - 10 x$
An algebraic expression which has two non zero unlike terms is called a binomial expression. Since, only two unlike terms are present, it is a binomial expression.

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