Question

Which of the following is a pair of like terms?

(a) $-7x{y}^{2}z,-7x^{2}yz$
(b) $-10xy{z}^2,3xy{z}^2$
(c) $3xyz,3x^2{y}^2{z}^2$
(d) $4xy{z}^2,3x^{2}yz$

Answer 1

(a) $-7x{y}^{2}z,-7x^{2}yz$
The terms have the same variables with different exponents, so they are unlike terms.

(b) $-10xy{z}^2,3xy{z}^2$
The terms have the same variables with the same exponents, so they are like terms.

(c) $3xyz,3x^2{y}^2{z}^2$
The terms have the same variables with different exponents, so they are unlike terms.

(d) $4xy{z}^2,3x^{2}yz$
The terms have the same variables with different exponents, so they are unlike terms.


Only terms in b part are like terms.