Identify the like terms.
–4a, –3b, 4b, 3
–4a and 4b
–3b and 3
–3b and 4b
–4a and –3b
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Recall the definition of like terms:
Two monomials that are exactly alike or are the same except for their numerical coefficients.
the reason is because b is the common term not the negative
The -3 doesn't matter because it's a numerical coefficient.
if you have 4 of something and another 5 of that same thing, you can combine the quantity of that thing, to 9 of em
if the things are different you can't tally them up together , a and b stay seperate, so does the constant numbers
The definition says
they must be the exactly the same
are the same except for the number in front.
Remember that a monomial is just a product of a numerical and one or more variables.
The complete definition of a monomial is a numerical, a variable, or the product of a numeral and one or more variables.