RD Sharma Solutions for Class 8 Math Chapter 7 - Factorization (Part-4) Class 8 Notes | EduRev

RD Sharma Solutions for Class 8 Mathematics

Created by: Abhishek Kapoor

Class 8 : RD Sharma Solutions for Class 8 Math Chapter 7 - Factorization (Part-4) Class 8 Notes | EduRev

The document RD Sharma Solutions for Class 8 Math Chapter 7 - Factorization (Part-4) Class 8 Notes | EduRev is a part of the Class 8 Course RD Sharma Solutions for Class 8 Mathematics.
All you need of Class 8 at this link: Class 8

Question 1: Factorize each of the following expressions:
qr − pr + qs − ps

Answer 1: qrpr+qsps  

=(qrpr)+(qsps)  [Grouping the expressions] 
=r(qp)+s(qp) 
=(r+s)(qp)              [Taking (qp) as the common factor] 
Question 2: Factorize each of the following expressions: 
p2q − pr2 − pq + r2 
Answer 2: 
p2qpr2pq+r2 
=(p2qpq)+(r2pr2)   [Grouping the expressions] 
=pq(p1)+r2(1p) 
=pq(p1)r2(p1)      [(1p)=(p1)]=(pqr2)(p1)              [Taking (p1) as the common factor] 
Question 3: Factorize each of the following expressions:
1 + x + xy + x2y 
Answer 3: 1+x+xy+x2y 

=(1+x)+(xy+x2y)   [Grouping the expressions] 
=(1+x)+xy(1+x) 
=(1+xy)(1+x)           [Taking (1+x) as the common factor] 
Question 4: Factorize each of the following expressions: 
ax + ay − bx − by 
Answer 4: ax+aybxby 

=(ax+ay)(bx+by)   [Grouping the expressions] 
= a(x+y)b(x+y) 
= (ab)(x+y)              [Taking (x+y) as the common factor] 
Question 5: Factorize each of the following expressions:
xa2 + xb2 − ya2 − yb2 

Answer 5:
  xa2+xb2ya2yb2