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) 4m^{2}p, 4mp^{2}

(vi) 12xz, 12x^{2}z^{2}

(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) 4m^{2}p, 4mp^{2}

As term 4m^{2}p has factors m, m and p but term 4mp^{2} has factors m, p and p. so both terms are unlike

(vi) 12xz, 12x^{2}z^{2}

As term 12xz has factors x and z but term 12x^{2}y^{2} has factors x, x, y and y. so both terms are unlike.

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