##### 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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