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.