Carry out the following divisions:
(i) 51x³y²z ÷ 17xyz
(ii) 76x³yz³ ÷ 19x²y²
(iii) 17ab²c³ ÷ (-abc²)
(iv) -121p³q³r³ ÷ (-11xy² z³)
Solution:
(i) 51x³y²z ÷ 17xyz
Given, 51x³y²z ÷ 17xyz
Factorising 51x³y²z we get,
51x³y²z = 3 × 17 × x × x × x × y × y × z = 17xyz(3x²y)
Now, 51x³y²z ÷ 17xyz
= 17xyz(3x²y) ÷ 17xyz
= 3x²y
(ii) 76x³yz³ ÷ 19x²y²
Given, 76x³yz³ ÷ 19x²y²
Factorising 76x³yz³ we get,
76x³yz³ = 2 × 2 × 19 × x × x × x × y × z × z × z = 19x²y(4xz³)
Now, 76x³yz³ ÷ 19x²y²
= 19x²y(4xz³) ÷ y(19x²y)
= 4xz³/y
(iii) 17ab²c³ ÷ (-abc²)
Given, 17ab²c³ ÷ (-abc²)
Factorising 17ab²c³ we get,
17ab²c³ = 17 × a × b × b × c × c × c = abc²(17bc)
Now, 17ab²c³ ÷ (-abc²)
= abc²(17bc) ÷ (-abc²)
= -17bc
(iv) -121p³q³r³ ÷ (-11xy² z³)
Given, -121p³q³r³ ÷ (-11xy² z³)
Factorising -121p³q³r³ we get,
-121p³q³r³ = (-1) × 11 × 11 × p × p × p × q × q × q × r × r × r
Now, -121p³q³r³ ÷ (-11xy² z³)
= 11p³q³r³/xy² z³
✦ Try This: Carry out the following divisions
(i) 125x⁵y⁵z³ ÷ 5x²y²z, (ii) 15x⁶y⁵z⁴ ÷ (-3x⁴y⁵z⁶), (iii) -117p³qr³ ÷ (-13xy z³)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9
NCERT Exemplar Class 8 Maths Chapter 7 Problem 94
Carry out the following divisions: (i) 51x³y²z ÷ 17xyz, (ii) 76x³yz³ ÷ 19x²y², (iii) 17ab²c³ ÷ (-abc²), (iv) -121p³q³r³ ÷ (-11xy² z³)
Summary:
Dividing the following (i) 51x³y²z ÷ 17xyz, (ii) 76x³yz³ ÷ 19x²y², (iii) 17ab²c³ ÷ (-abc²), (iv) -121p³q³r³ ÷ (-11xy² z³) we get, 3x²y, 4xz³/y, -17bc and 11p³q³r³/xy² z³ respectively
☛ Related Questions:
visual curriculum