Addition of two polynomials involves combining like terms present in the two polynomials.
By like terms we mean the terms having same variable and same exponent.
For example two terms are like only if:
- The two terms have same variable
- The two terms have same power of the variable
e.g.` 3x^2` and `5x^2 `are like terms. Similarly` 4x^2y` and ` 2x^2y ` are like terms.
However `3x^2y` and `xy^2 `are not like terms, since one involves `x^2y` and the other has `xy^2`. Hence the powers of the variables involved are not the same.
Before we proceed towards more complex examples of polynomials addition, let us solve a few simple examples that make the idea of like terms clear.