Identify the like terms in each of the following algebraic expression.
$5 x^{2} - 3 x y + 2 x^{2} - 1$

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Solution

Check the like terms in polynomial.
Given polynomial is $5 x^{2} - 3 x y + 2 x^{2} - 1$
Two or more terms can be called as ‘like terms’ if they have
same variable
same degree
Otherwise it can be called as ‘unlike terms’.
The like terms in the polynomial $5 x^{2} - 3 x y + 2 x^{2} - 1$ is $5 x^{2}, 2 x^{2}$ because only these two terms have the same variable and same degree.
Hence, the like terms in polynomial $5 x^{2} - 3 x y + 2 x^{2} - 1$ is $5 x^{2}, 2 x^{2}$ .

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