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, they are like terms,both have same variables, x and y, Both have the same power

Answer 2

Yes, both terms are same.

Step-by-step 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.