Identify like terms in the following:

(a) – xy2, – 4yx2, 8x2, 2xy2, 7y, – 11x2, – 100x, – 11yx, 20x2y, – 6x2, y, 2xy, 3x


(b) 10pq, 7p, 8q, – p2q2, – 7qp, – 100q, – 23, 12q2p2, – 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

(a)


Expression



Variable Factors



-xy2



x, y, y



-4yx2



y, x, x



8x2



x, x



2xy2



x, y, y



7y



y



-11x2



x, x



-100x



x



-11yx



y, x



20x2y



x, x, y



-6x2



x, x



y



y



2xy



x, y



3x



x



So, From the above table we conclude that sets of like terms are


1. -xy2, 2xy2 : As both have common variable factors as x, y and y


2. -4yx2, 20x2y : As both have common variable factors as x, x and y


3. 8x2 , -11x2, -6x2 : As both have common variable factors as x and x


4. -11yx, 2xy : As both have common variable factors as x and y


5. -100x, 3x : As both have common variable factor as x


6. 7y, y : As both have common variable factor as y


(b)


Expression



Variable Factors



100pq



p, q



7p



P



8q



q



-p2q2



p, p, q, q



-7qp



q, p



-100q



q



-23



Constant



12q2p2



q, q, p, p



-5p2



p, p



41



Constant



2405p



p



78qp



q, p



13p2q



p, p, q



qp2



q, p, p



701p2



P, p



So, From the above table we conclude that sets of like terms are


1. 10pq, –7qp, 78qp : As both have common variable factors as p and q


2. 7p, 2405p: As both have common variable factor as p


3. 8q, – 100q : As both have common variable factor as q


4. –p2q2, 12q2p2 : As both have common variable factors as p, q, q and q


5. –23, 41 : As both terms are constant and don’t have any variable factor .


6. –5p2, 701p2 :As both have common variable factors as p and p.


7. 13p2q, qp2 : As both have common variable factors as p, p and q.


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