1.

State with reasons, which of the following pairs of terms are of like terms and which are of unlike terms : (i) `7x, 12y` (ii) `15x-21x` (iii) `4ab,7ba`

Answer» (i) `7x = 7 xx x`
`12y = 2 xx 2 xx 3 xx y` so, unlike
(ii) `-21x = -3 xx 7 xx x`
`15x = 3 xx 5 xx x` so, like
(iii) `-4ab = -2 xx 2 xx a xx b`
`7ba = 7 xx b xx a ` like
(iv) `3xy = 3 xx x xx y `
`3x = 3 xx x` unlike
(v) `6xy^2 = 2 xx 3 xx x xx y xx y`
`9 x^2y = 3 xx 3 xx x xx x xx y` unlike
(vi) `pq^2 = p xx q xx q`
`-4pq^2 = -2 xx 2 xx p xx q xx q`
(viii) `mn^2, 10mn`
`mn^2 = m xx n xx n`
`10mn = 5 xx 2 xx m xx n`
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