Question

In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.

Answer 1

Answer:

Yes, both terms are same.

Explanation:

The given expression is, $3x^2y+4x-5x^2y$.

Let the first term, $t_1=3x^2y$

The second term, $t_1=-5x^2y$

Yes, the term $3x^2y\ and\ -5x^2y$ are like. As in both of these terms, the variables are same. Also, the exponent of the variables are same. These two terms can be added or subtracted.

As a result the given expression is equivalent to $4x-2x^2 y$. Hence, this is the required solution.

Answer 2

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