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.