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Important questions for Factorization Class 8 Maths CBSE Part 1



In this page we have Important questions for Factorization Class 8 Maths CBSE Part 1 . Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1

User the below expression to solve the below problems

a2 –b2 = (a - b )(a + b)

 

a. x2 - 81

b. 49a2 - 36 

c. 121 – 49z2 

d. 4x2 - 9y2 

e. 16x2 - 225y2 

f. 9x2y2 - 25 

g. 16x2 - 81

h. (a + b)2 - 9c2 

i. a - (x – y )2 

j. 4(x + y)2 - x2 

k. 36(a + b)2 - 16(a - b)2

l. 20x2 – 45y2

m. z3 – 81z 

n. 12p2 - 27 

o. 3z5 – 27z3

p. 36a2b2 - 8 


q. z2 - x2 – 2x - 1 

r. 9x2 - y2 + 4y - 4 

s. p2 – 2pq + q2 - r2


 

Question 1

User the below expression to solve the below problems

(a+b)2 = (a2 + b2 +2ab)

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

 

1. p2 + 4p + 5

2. x2 + 19x + 81

3. 3 + 6z + z2 

4. 9 + 6x + x2 

5. z2 + 6xz + 9x2 

6. 9x2 + 30x +25

7. 36z2 + 12z + 1

8. 9x2 + 30x + 25 

9. z2 + z + 1/4 

10. 4z2 – 6z + 9

11. 4p2 – 20p + 25

12. 9x2 - 30x + 25 

13. 1 – 2y + y2 

14. 4 – 12y+ 9y2

15. x2y2 – 6xyz + 9z2 

16. p2 – 6pq + 9p2

 

Question 3

Find and correct the errors in the statement: (3x)2 + 5x = 9x + 5x = 14x


Answer

LHS = (2x)2 + 5x =4x2+5x

RHS = 9x + 5x = 14x

Third = 14x

 

LHS≠ RHS =third part

Correct statement would be

(3x)2 + 5x = 9x2+5x

 

 

Question 4

Find and correct the errors in the statement: (4x + 2)2 = 2x2 + 16x + 4


Answer

LHS = (4x + 2)2 =16x2 +16x+4

RHS = 2x2 + 16x + 4

LHS≠ RHS

Correct statement would be

(4x + 2)2 =16x2 +16x+4

 

Question 5 

Find and correct the errors in the statement: (z - 1)2 = z2 - 1


Answer

LHS = (z - 1)2 =z2 -2z+1

RHS = z2 - 1

LHS≠ RHS

Correct statement would be

(z - 1)2 =z2 -2z+1

 

Question 6

Find and correct the errors in the statement: (y + 6)2 = y2 + 36


Answer

LHS=( y + 6)2 =y2 +12z+36

RHS = y2 + 36

LHS≠ RHS

Correct statement would be

( y + 6)2 =y2 +12z+36

 


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