Mathematics

Identify like terms in the following:
(i) a², b², -2a², c², 4a
(ii) 3x, 4xy, -yz, $\dfrac{1}{2}$ zy
(iii) -2xy², x²y, 5y²x, x²z
(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

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(i) a², b², -2a², c², 4a

Since a² and -2a² have the same literal part

∴ Like terms are a² and -2a².

(ii) 3x, 4xy, -yz, $\dfrac{1}{2}$ zy

Since -yz and $\dfrac{1}{2}$ zy have the same literal part

∴ Like terms are -yz and $\dfrac{1}{2}$ zy.

(iii) -2xy², x²y, 5y²x, x²z

Since -2xy² and 5y²x have the same literal part

∴ Like terms are -2xy² and 5y²x.

(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

Since ab²c, acb², b²ac and cab² have the same literal part

∴ Like terms are ab²c, acb², b²ac and cab².

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