Adding and Subtracting Polynomials
How to add and subtract the terms in a polynomial: examples and their solutions.
Only like terms
(terms that have the same variables & exponents)
can be added or subtracted.
7x2 and +2x2 are like terms.
So 7x2 + 2x2 = (7 + 2)x2.
-3x and +8x are like terms.
So -3x + 8x = (-3 + 8)x.
3a2 and -a2 are like terms. (blue)
So 3a2 - a2 = (3 - 1)a2.
+ab2 and +9ab2 are like terms. (green)
So ab2 + 9ab2 = (1 + 9)ab2.
+2ab and -6ab are like terms. (red)
So +2ab - 6ab = (2 - 6)ab.