Identify the like terms in each of the following algebraic expressions.
$x^{2} - 2 y^{2} + 7 x^{2} - 9 y^{2} + 2 x y - x y$

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Solution

Find the like terms in polynomial.
Given, polynomial is $x^{2} - 2 y^{2} + 7 x^{2} - 9 y^{2} + 2 x y - x y$ .
Two or more terms can be called as ‘like terms’ if they have
same variable
same degree
Otherwise, they can be called as ‘unlike terms’.
The like terms in the polynomial $x^{2} - 2 y^{2} + 7 x^{2} - 9 y^{2} + 2 x y - x y$ are $(x^{2}, 7 x^{2}), (- 2 y^{2}, - 9 y^{2})$ and $(2 x y, - x y)$ because these three sets of terms have the same variables and same degree.
Hence, the like terms in polynomial $x^{2} - 2 y^{2} + 7 x^{2} - 9 y^{2} + 2 x y - x y$ are $(x^{2}, 7 x^{2}), (- 2 y^{2}, - 9 y^{2})$ and $(2 x y, - x y)$ .

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