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Ncert Solutions for Factorization Class 8 CBSE Part 4


In this page we have NCERT book Solutions for Class 8th Maths:Factorization for EXERCISE 4 . Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1   

Find and correct the errors in the statement: 4(x - 5) = 4x - 5


Answer

LHS =4(x-5) = 4x-20

RHS = (4x-5)

LHS≠ RHS

Correct statement would be

4(x-5) = 4x-20

 

Question 2   

Find and correct the errors in the statement: x(3x + 2) = 3x2 + 2


Answer :

LHS = x(3x + 2) = 3x2 + 2x

RHS = 3x2 + 2

LHS≠ RHS

Correct statement would be

x(3x + 2) = 3x2 + 2x

Question 3 :  

Find and correct the errors in the statement: 2x + 3y = 5xy


Answer :

LHS = 2x + 3y

RHS = 5xy

LHS≠ RHS

Correct statement would be

2x + 3y = 2x+3y

 

 

Question 4   

Find and correct the errors in the statement: x + 2x + 3x = 5x


Answer :

LHS = x + 2x + 3x= 6x

RHS = 5x

LHS≠ RHS

Correct statement would be

x + 2x + 3x= 6x

 

Question 5   

Find and correct the errors in the statement: 5y + 2y + y - 7y = 0


Answer

LHS = 5y + 2y + y - 7y = y

RHS = 0

LHS≠ RHS

Correct statement would be

 5y + 2y + y - 7y = y

 

Question 6   

Find and correct the errors in the statement: 3x + 2x = 5x2


Answer

LHS = 3x + 2x =5x

RHS = 5x2

 

LHS≠ RHS

Correct statement would be

3x + 2x =5x

 

Question 7   

Find and correct the errors in the statement: (2x)2 + 4(2x) + 7 = 2x2 + 8x + 7


Answer :

LHS = (2x)2 + 4(2x) + 7 =4x2 +8x+7

RHS = 2x2 + 8x + 7

 

LHS≠ RHS

Correct statement would be

(2x)2 + 4(2x) + 7 =4x2 +8x+7

 

 

Question 8   

Find and correct the errors in the statement: (2x)2 + 5x = 4x + 5x = 9x


Answer

LHS = (2x)2 + 5x =4x2+5x

RHS = 4x + 5x =9x

Third = 9x

 

LHS≠ RHS =third part

Correct statement would be

(2x)2 + 5x = 4x2+5x

 

 

Question 9   

Find and correct the errors in the statement: (3x + 2)2 = 3x2 + 6x + 4


Answer

LHS = (3x + 2)2 =9x2 +12x+4

RHS = 3x2 + 6x + 4

LHS≠ RHS

Correct statement would be

(3x + 2)2 =9x2 +12x+4

 

 

Question 10   

Find and correct the errors in the statement: (y - 3)2 = y2 - 9


Answer

LHS = (y - 3)2 =y2 -6y+9

RHS = y2 - 9

LHS≠ RHS

Correct statement would be

(y - 3)2 =y2 -6y+9

 

Question 11   

Find and correct the errors in the statement: (z + 5)2 = z2 + 25


Answer

 

LHS= (z + 5)2 =z2 +10z+25

RHS = z2 + 25

LHS≠ RHS

Correct statement would be

(z + 5)2 =z2 +10z+25

 

Question 12   

Find and correct the errors in the statement: (2a + 3b) (a - b) = 2a2 - 3b2


Answer

LHS= (2a + 3b) (a - b)=2a2 -2ab+3ab-3b2=2a2 +ab-3b2

RHS = 2a2 - 3b2

LHS≠ RHS

Correct statement would be

(2a + 3b) (a - b)=2a2 +ab-3b2

 

 

Question 13   

Find and correct the errors in the statement: (a + 4) (a + 2) = a2 + 8


Answer

LHS= (a + 4) (a + 2) =a2 +2a+4a+8=a2 +6a+8

RHS = a2 + 8

LHS≠ RHS

Correct statement would be

(a + 4) (a + 2) =a2 +6a+8

 

 

Question 14   

Find and correct the errors in the statement: (a - 4) (a - 2) = a2 - 8


Answer

LHS= (a - 4) (a - 2) =a2 -2a-4a+8=a2 -6a+8

RHS = a2 - 8

LHS≠ RHS

Correct statement would be

(a - 4) (a - 2) =a2 -6a+8

 

Question 15   

Find and correct the errors in the statement:  3x2/3x2  =0


Answer

LHS= 3x2/3x2  =1

RHS =0

LHS≠ RHS

Correct statement would be

3x2/3x2  =1

 

Question 16   

Find and correct the errors in the statement: 

(3x2+1)/3x2 =  1+1=2


Answer

LHS= (3x2+1)/3x2 =  1 + 1/3x2

RHS =1+1

LHS≠ RHS

Correct statement would be

(3x2+1)/3x2 =  1 + 1/3x2

 

 

Question17   

Find and correct the errors in the statement: 

3x/(3x+2) = 1/2

 

 


Answer

 

LHS= 3x/(3x+2)

RHS =1/2

LHS≠ RHS

Correct statement would be

3x/(3x+2) =3x/(3x+2)

 

Question 18   

Find and correct the errors in the statement:

3/(4x+3) =1/4x

 


Answer

LHS= 3/(4x+3)

RHS =1/4x

LHS≠ RHS

Correct statement would be

3/(4x+3) =3/(4x+3)

 

 

Question 19   

Find and correct the errors in the statement:

(4x+5)/4x =5

 


Answer

LHS= (4x+5)/4x =1 + 5/4x

RHS =5

LHS≠ RHS

Correct statement would be

(4x+5)/4x =1 + 5/4x

 

 

Question 20   

Find and correct the errors in the statement: 

(7x+5)/5  =7x

 

Answer

LHS= (7x+5)/5  = 7x/5 +1

RHS =7x

LHS≠ RHS

Correct statement would be

(7x+5)/5  = 7x/5 +1

 

 


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