How do you combine like terms in #m-8m+8m+2#?

Answer 1

The answer is #m+2#

You are basically combining like terms. Think of #m# as apples.

You have #-8# apples #+ 8# apples, therefore that would equal #0#.

You have still one apple left and #2#, so

#m+2#

You can only add and subtract like things, e.i you can't add #2# apples to #5# oranges and say you have #7# oranges, that's impossible.

This is the same concept.

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Answer 2

Abigail Allen

To combine like terms in the expression ( m - 8m + 8m + 2 ), you first identify terms that have the same variable and exponent. In this expression, the terms involving ( m ) are: ( m ), ( -8m ), and ( 8m ).

Combining like terms:

( m - 8m + 8m + 2 )

Combine the terms with ( m ):

( (1 - 8 + 8)m + 2 )

Now, combine the constants:

( (1 - 8 + 8)m + 2 = (1)m + 2 )

Finally, simplify:

( (1)m + 2 = m + 2 )

So, ( m - 8m + 8m + 2 ) simplifies to ( m + 2 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.