Question

Which of the following is the like term as
-Зуz ?
1.
5xyz
2.
-Зу
З.
(2/3) yz
4.
Зху

Answer 1

Answer:

We know that the terms having the same variable with same exponents are called Like terms. Coefficient can be different.

(a) In the polynomials 11xyz

2

and −18xy

2

z, the variables are xyz

2

and xy

2

z.

Since the variables are different, therefore, 11xyz

2

and −18xy

2

z are not like terms.

(b) In the polynomials 7xyz

2

and −7xyz

2

, the variables are xyz

2

and xyz

2

.

Since the variables are same, therefore, 7xyz

2

and −7xyz

2

are like terms.

(c) In the polynomials 17xyz

2

and 7x

2

yz, the variables are xyz

2

and x

2

yz.

Since the variables are different, therefore, 17xyz

2

and 7x

2

yz are not like terms.

(d) In the polynomials 3x

2

y

2

z

2

and 13xyz

2

, the variables are x

2

y

2

z

2

and xyz

2

.

Since the variables are different, therefore, 3x

2

y

2

z

2

and 13xyz

2

are not like terms.

Answer 2

2nd one is the like term