State whether a given pair of terms is of like or unlike terms.

(i) 1, 100


(ii) -7x,


(iii) -29x, -29y


(iv) 14xy, 42yx


(v) 4m2p, 4mp2


(vi) 12xz, 12x2z2

(i) 1, 100


As it contains only single term it is simply a like term


(ii) -7x,


As both term have same algebraic factor as x, the terms are like.


(iii) -29x, -29y


As both term don’t have same algebraic factor (As -29x has x and -29 has y), the terms are unlike.


(iv) 14xy, 42yx


As both term have same algebraic factors as x and y, the terms are like.


(v) 4m2p, 4mp2


As term 4m2p has factors m, m and p but term 4mp2 has factors m, p and p. so both terms are unlike


(vi) 12xz, 12x2z2


As term 12xz has factors x and z but term 12x2y2 has factors x, x, y and y. so both terms are unlike.


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