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Ncert Solutions for Factorization Class 8 Mathematics Chapter 14 Exercise 14.4





In this page we have NCERT book Solutions for Class 8th Mathematics:Factorization Chapter 14 for Exercise 14.4 . 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

Download class8 maths Exercise 14.4 as pdf
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Class 8 Maths Class 8 Science
Reference Books for class 8 Math

Given below are the links of some of the reference books for class 8 Math.

  1. Mathematics Foundation Course for JEE/Olympiad : Class 8 This book can take students maths skills further. Only buy if child is interested in Olympiad/JEE foundation courses.
  2. Mathematics for Class 8 by R S Aggarwal Detailed Mathematics book to clear basics and concepts. I would say it is a must have book for class 8 student.
  3. Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo : These set of books could help your child if he aims to get extra knowledge of science and maths. These would be helpful if child wants to prepare for competitive exams like JEE/NEET. Only buy if you can provide help to the child while studying.
  4. Reasoning Olympiad Workbook - Class 8 :- Reasoning helps sharpen the mind of child. I would recommend students practicing reasoning even though they are not appearing for Olympiad.

You can use above books for extra knowledge and practicing different questions.







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