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]
(ii) 5x
^{2}y, 11x
^{2}y, 1.95x
^{2}y are like terms.
[Each having same literal coefficient x
^{2}y]
(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) 18x
^{3}y
^{3},10x
^{3}y
^{3} are like terms
[Each having same literal coefficient x
^{3}y
^{3}]
Now look at the terms of the following polynomials:
(i) 7ab
^{2}  2/5ab
^{2}
We observe that the two terms(7ab
^{2} and 2/5ab
^{2}) 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) 15x
^{2}  2x
^{2} + 10x
^{2}
We observe that the three terms(5x
^{2}, 2x
^{2} and 10x
^{2}) of the trinomial have same variables(x
^{2}) raised to the same power(2). Only the numerical coefficients are different. So, the above trinomial is made up of three like terms.
(iii) 4x
^{3}y
^{3}z
^{3}  x
^{3}y
^{3}z
^{3} + 10x
^{3}y
^{3}z
^{3}  2x
^{3}y
^{3}z
^{3}
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.
● Terms
Like and Unlike Terms
Like Terms
Addition of Like Terms
Subtraction of Like Terms
Adding and Subtracting Like Terms
Unlike Terms
Addition of Unlike Terms
Subtraction of Unlike Terms
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