Like Terms
The like terms having the same literal coefficients. The like terms may differ only in their numeral coefficients.
For example:
(i) xy, 7xy, -2xy are like terms
[Each having same literal coefficient xy]
[Each having same literal coefficient x2y]
(iii) 0.6a, 1.8a, -11a, a are like terms
[Each having same literal coefficient a]
(iv)2x,5x,4.5x,0.25x are like terms
[Each having same literal coefficient x]
(v) 18x3y3,10x3y3 are like terms
[Each having same literal coefficient x3y3]
Now look at the terms of the following polynomials:
(i) 7ab2 - 2/5ab2
We observe that the two terms(7ab2 and 2/5ab2) of the binomial have same variables(ab) raised to the same power(2). Only the numerical coefficients are different. So, the binomial is made up of two like terms.
(ii) 15x2 - 2x2 + 10x2
We observe that the three terms(5x2, 2x2 and 10x2) of the trinomial have same variables(x2) raised to the same power(2). Only the numerical coefficients are different. So, the above trinomial is made up of three like terms.
(iii) 4x3y3z3 - x3y3z3 + 10x3y3z3 - 2x3y3z3
The four terms of the polynomials have same variables (xyz) raised to the same power (3). Only the numerical coefficients are different. So, the polynomials is made up of four like terms.
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