RD Sharma Solutions Class 8 Division Of Algebraic Expressions Exercise 8.2

RD Sharma Solutions Class 8 Chapter 8 Exercise 8.2

RD Sharma Class 8 Solutions Chapter 8 Ex 8.2 PDF Download

Divide: Question 1

6x3y2z2 by 3x2yz

Soln:

\(\frac{6x^{3}y^{2}z^{2}}{3x^{2}yz}\)

= \(\frac{6\times x\times x\times x\times y\times y\times z\times z}{3\times x\times x\times y\times z}\)

= 2x(3-2)y(2-1)z(2-1)

= 2xyz

Question 2

15m2n3 by 5m2n2

Soln:

\(\frac{15n^{3}m^{2}}{5m^{2}n^{2}}\)

= \(\frac{15\times n\times n\times n\times m\times m}{5\times m\times m\times n\times n}\)

= 3m(2-2)n(3-2)

= 3m0n1

=3n

Question 3

24a3b3 by -8ab

Soln:

\(\frac{24a^{3}b^{3}}{-8ab}\)

= \(\frac{24\times a\times a\times a\times b\times b\times b}{-8\times a\times b}\)

= -3a(3-1)b(3-1)

= -3a2b2

 

Question 4

-21abc2 by 7abc

Soln:

\(\frac{-21abc^{2}}{7ab}\)

= \(\frac{-21\times a\times b\times c\times c}{7\times a\times b\times c}\)

= -3a(1-1)b(1-1)c(2-1)

= -3a0b0c1

= 3c

Question 5

72xyz2 by -9xz

Soln:

\(\frac{72xyz^{2}}{-9xz}\)

= \(\frac{72\times x\times y\times z\times z}{-9\times x\times z}\)

= -8x(1-1)yz(2-1)

= -8yz

Question 6

-72a4b5c8 by -9a2b2c3

Soln:

\(\frac{-72a^{4}b^{5}c^{8}}{-9a^{2}b^{2}c^{3}}\)

= \(\frac{-72\times a\times a\times a\times a\times b\times b\times b\times b\times b\times c\times c\times c\times c\times c\times c\times c\times c}{-9\times a\times a\times b\times b\times c\times c\times c}\)

= 8a(4-2)b(5-2)c(8-3)

= 8a2b3c5

 

Simplify :

Question 7

\(\frac{16m^{3}y^{2}}{4m^{2}y}\)

Soln:

\(\frac{16m^{3}y^{2}}{4m^{2}y}\)

= \(\frac{16\times m\times m\times \times y\times y}{4\times m\times m\times y}\)

= 4m(3-2)y(2-1)

= 4my

 

Question 8

\(\frac{32m^{2}n^{3}p^{2}}{4mnp}\)

Soln:

\(\frac{32m^{2}n^{3}p^{2}}{4mnp}\)

= \(\frac{32\times m\times m\times n\times n\times n\times p\times p}{4\times m\times n\times p}\)

= 8m(2-1)n(3-1)p(2-1)

= 8mn2p