You subtract a polynomial by adding its additive inverse. For example, subtracting (x - y) is the same as adding (-x + y).
Alternately, you can simply subtract similar terms - that is, subtract the coefficients (the numbers) for terms that have the same combination of variables.
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Adding and subtracting polynomials is simply the adding and subtracting of their like terms.
top times top, bottom times bottom
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The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.