Mathematics
In the following, which pairs contain like terms?
(i) 5x, −2x
(ii) 5x, 5y
(iii) −2xyz, −3x2y2z2
(iv) 10xyz, −10xyz
(v) 2x2y, 2xy2
(vi) 2xy, −3yx
(vii) x, x2
(viii) 6, 6x
(ix) 2xy, 3xyz
Algebra Basics
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Answer
Two terms are like terms if they have the same literal (variable) part.
(i) 5x and −2x have the same literal part x → Like terms.
(ii) 5x and 5y have different variables → Unlike terms.
(iii) −2xyz and −3x2y2z2 have different powers → Unlike terms.
(iv) 10xyz and −10xyz have the same literal part xyz → Like terms.
(v) 2x2y and 2xy2 have different powers → Unlike terms.
(vi) 2xy and −3yx have the same literal part (xy = yx) → Like terms.
(vii) x and x2 have different powers → Unlike terms.
(viii) 6 has no variable while 6x has x → Unlike terms.
(ix) 2xy and 3xyz have different variables → Unlike terms.
Hence, the pairs containing like terms are (i), (iv) and (vi).
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