Question

Which of the following are like terms?
a) $5xy{z}^2,-3x{y}^{2}z$
b) $-5xy{z}^2,7xy{z}^2$
c) $5xy{z}^2,5x^{2}yz$
d) $5xy{z}^2,x^2{y}^2{z}^2$

Answer 1

The correct option is b) $-5xy{z}^2,7xy{z}^2$

​​​​​​​We know that, the terms having same algebraic (literal) factors are called like terms.
a) $5xy{z}^2,-3x{y}^{2}z$ [unlike terms]
b) $-5xy{z}^2,7xy{z}^2$ [like terms]
c) $5xy{z}^2,5x^{2}yz$ [unlike terms]
d) $5xy{z}^2,x^2{y}^2{z}^2$ [unlike terms]