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Question

Is the sum of 2 binomials always a binomial?


A
True
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B
False
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Solution

The correct option is B False

Determining why the sum of two binomials is not always a binomial:

The sum of two binomials can be a binomial only if the terms are to the same power for both terms within both binomials.

Example 1:

Let's consider the equation

x+y+x-y=x+y+x-y=2x

Example 2:

x+y+-x-y=x+y-x-y=0

The above two examples prove that the sum of two binomials is not always a binomial.

Therefore, the given statement is false.


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