# Important questions for Factorization

In this page we have Important questions for Factorization Class 8 Maths Chapter 14 . 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) a2 - (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 2
User the below expression to solve the below problems
(a+b)2 = (a2 + b2 +2ab)
(a-b)2 = (a2 + b2 -2ab)
(a) p2 + 4p + 4
(b) x2 + 18x + 81
(c) 9 + 6z + z2
(d) 9 + 6x + x2
(e) z2 + 6xz + 9x2
(f) 9x2 + 30x +25
(g) 36z2 + 12z + 1
(h) 9x2 + 30x + 25
(i) z2 + z + 1/4
(j) 4z2 – 6z + 9
(k) 4p2 – 20p + 25
(l) 9x2 - 30x + 25
(m) 1 – 2y + y2
(n) 4 – 12y+ 9y2
(o) x2y2 - 6xyz + 9z2
(p) p2 – 6pq + 9p2

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

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

Question 5
Find and correct the errors in the statement: (z - 1)2 = z2 - 1

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

Question 7
Verify that
(11m + 4n)2  – (11mn – 4n)2 = 176mn2

Question 8
True and false
(a) The value of (a + 1) (a – 1) (a2 + 1) is a4 + 1.
(b) x + y+ z is a monomial
(c) Some of the factors of $\frac {p^2}{2} + \frac {p}{2}$ are p,1/2 and (p+1)
(d)if xy=20 and (x- y) =1, the value (x+y) =9

Question 9
Factorise
$x^2 + \frac {1}{x^2} + 2 -3x - \frac{3}{x}$

Question 10
The Length and breadth of the rectangle is (x+y) and (x-y) respectively. What is the area of the rectangle

Question 11
What should be added to 4c(-a + b + c) to obtain 3a (a + b + c) - 2b (a - b + c)?

## Summary

This Important questions for Factorization Class 8 Maths Chapter 14 with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.