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Camille Singleton
Mathematics
1 July, 12:00
Is the sum of two monomials always a monomial?
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Emilee Holloway
1 July, 12:26
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Step-by-step explanation:
Sum of two monomials is not necessarily always a monomial.
For example:
Suppose we have two monomials as 2x and 5x.
Adding 2x+5x, we get 7x.
So if two monomials are both like terms then their sum will be a monomial.
Suppose we have two monomials as 3y and 4x
Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x, which is a binomial.
So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.
Product of monomials:
suppose we have 2x and 5y,
Product : 2x*5y = 10xy (which is a monomial)
So yes product of two monomials is always a monomial.
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