Division of Algebraic Expressions - Exercise 8.2 | Mathematics (Maths) Class 8 PDF Download

 Page 1


        
    
    
    
  
      
                                     
       
  
  
 
      
     
                                    
             
      
    
    
 
 
 
 
                          
Question:4
Divide 6x
3
y
2
z
2
 by 3x
2
yz.
Solution:
6x
3
y
2
z
2
3x
2
yz
=
6×x×x×x×y×y×z×z
3×x×x×y×z
 = 2x
(3-2)
y
(2-1)
z
(2-1)
= 2xyz
Question:5
Divide 15m
2
n
3
 by 5m
2
n
2
.
Solution:
15m
2
n
3
5m
2
n
2
=
15×m×m×n×n×n
5×m×m×n×n
= 3m
(2-2)
n
(3-2)
= 3m
0
n
1
= 3n
Question:6
Divide 24a
3
b
3
 by -8ab.
Solution:
24a
3
b
3
-8ab
= 
24×a×a×a×b×b×b
-8×a×b
= -3a
(3-1)
b
(3-1)
= -3a
2
b
2
Page 2


        
    
    
    
  
      
                                     
       
  
  
 
      
     
                                    
             
      
    
    
 
 
 
 
                          
Question:4
Divide 6x
3
y
2
z
2
 by 3x
2
yz.
Solution:
6x
3
y
2
z
2
3x
2
yz
=
6×x×x×x×y×y×z×z
3×x×x×y×z
 = 2x
(3-2)
y
(2-1)
z
(2-1)
= 2xyz
Question:5
Divide 15m
2
n
3
 by 5m
2
n
2
.
Solution:
15m
2
n
3
5m
2
n
2
=
15×m×m×n×n×n
5×m×m×n×n
= 3m
(2-2)
n
(3-2)
= 3m
0
n
1
= 3n
Question:6
Divide 24a
3
b
3
 by -8ab.
Solution:
24a
3
b
3
-8ab
= 
24×a×a×a×b×b×b
-8×a×b
= -3a
(3-1)
b
(3-1)
= -3a
2
b
2
Question:7
Divide -21abc
2
 by 7abc.
Solution:
-21abc
2
7abc
= 
-21×a×b×c×c
7×a×b×c
= -3a
(1-1)
b
(1-1)
c
(2-1)
= -3c
Question:8
Divide 72xyz
2
 by -9xz.
Solution:
72xyz
2
-9xz
=
72×x×y×z×z
-9×x×z
= -8x
(1-1)
yz
(2-1)
= -8yz
Question:9
Divide -72a
4
b
5
c
8
 by -9a
2
b
2
c
3
.
Solution:
-72a
4
b
5
c
8
-9a
2
b
2
c
3
=
-72×a×a×a×a×b×b×b×b×b×c×c×c×c×c×c×c×c
-9×a×a×b×b×c×c×c
= 8a
(4-2)
b
(5-2)
c
(8-3)
= 8a
2
b
3
c
5
Question:10
Simplify:
16m
3
y
2
4m
2
y
Solution:
16m
3
y
2
4m
2
y
=
16×m×m×m×y×y
4×m×m×y
= 4m
(3-2)
y
(2-1)
= 4my
Question:11
Simplify:
32m
2
n
3
p
2
4mnp
Solution:
32m
2
n
3
p
2
4mnp
=
32×m×m×n×n×n×p×p
4×m×n×p
= 8m
(2-1)
n
(3-1)
p
(2-1)
= 8mn
2
p