find the product 4a ^2b*-6a^3b^2 c
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Combine Like Terms
Like terms are terms that have the same variable part i.e. they only differ in their coefficients. Combining like terms is very often required in the process of simplifying equations.
For example:
2x and –5x are like terms
a and are like terms
6x and 5y are unlike terms
Like terms can be added or subtracted from one another.
For example:
a + a = 2 × a = 2a (We usually write 2 × a as 2a)
2a + 4a = 6a
a + a + a = 3a
2a + 4 (Unlike terms cannot be simplified)
4a + 3b (Unlike terms cannot be simplified)
6a – 3a = 3a
8b – 8b = 0
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
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