Question

Q-39 Identify the pairs of like and unlike terms:
(i) -32x, y
(ii) -x, 3x
(iii) -12y2x, 32xy
(iv) 1000, -2
​

Answer 1

Step-by-step explanation:

-32x,2x,3x,-x,y,-12y,32xy 1000,-2

Answer 2

Pairs of Like Terms: -x , 3x and  1000 , - 2

Pairs of Unlike Terms: -12y²x , 32xy and-32x , y

Given:

• Pairs of expressions/numbers
• -32x , y
• -x , 3x

• -12y²x , 32xy

• 1000 , - 2

To Find:

• Which pairs are like and unlike terms

Solution:

Like Terms

• Like terms are the terms whose variables and their exponents are the same.
• All constant terms are like terms

Checking Each pair one by one:

(i)-32x,y

First term has variable x

Second term has variable y

Hence Unlike Terms

(ii)-x, 3x

Both Terms have variable x  with exponent 1

Hence Like Terms

(iii)-12y²x,32xy

Both Terms have variable x and y each  

But y exponent 2 in first term and 1 in second

Hence Unlike Terms

(iv) 1000,-2​

Both Terms are constant without any variable

Hence Like Terms

Pairs of Like Terms: -x , 3x and  1000 , - 2

Pairs of Unlike Terms: -12y²x , 32xy and-32x , y