Question

List the like terms in xy - 1 + 12xy + 8.

Answer 1

Like terms:

1. xy and 12xy are like terms,

2. -1 and 8 are like terms.

What are Like Terms in a equation ?

The like terms in a equation are those which have same variable parts and same exponents.

For example:

1. x + y + xy + 2y + 3x + 3 + 2xy + 5.

here x and 3x are the like terms because the have same variable 'x' and same power of 'x' i.e. 1.

also y and 2y are like terms because the have same variable 'y' and same power of 'y' i.e. 1.

xy and 2xy are like terms because the have same variable 'xy' and same power of 'xy' i.e. 1.

3 and 5 are like terms because they are constant and they do not have any variable.

Here we have given the equation:

xy - 1 + 12xy + 8.

here xy and 12xy are like terms because they have same variable 'xy' and the same power of 'xy' i.e. 1.

also -1 and 8 are like terms because they are constant and they do not have any variable..

Hence,

Like terms:

1. xy and 12xy are like terms,

2. -1 and 8 are like terms.

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