RD Sharma Solutions for Class 8 Maths Exercise 8.3 of Chapter 8 Division of Algebraic Expressions are provided here. In Exercise 8.3, we will discuss the concept of algebraic expressions that are not polynomials and the division of polynomials in one variable, which includes the division of a polynomial by a monomial. The concepts are explained in detail by our subject experts, which helps students prepare for their exams and come out with flying colours in their examinations. Students can refer to and download the RD Sharma Solutions for Class 8 Maths Exercise 8.3 from the link given below.
RD Sharma Solutions for Class 8 Maths Exercise 8.3 Chapter 8 Division of Algebraic Expressions
Access Answers to RD Sharma Solutions for Class 8 Maths Exercise 8.3 Chapter 8 Division of Algebraic Expressions
EXERCISE 8.3 PAGE NO: 8.6
Divide:
1. x + 2x2 + 3x4 – x5 by 2x
Solution:
We have,
(x + 2x2 + 3x4 – x5) / 2x
x/2x + 2x2/2x + 3x4/2x – x5/2x
By using the formula an / am = an-m
1/2 x1-1 + x2-1 + 3/2 x4-1 – 1/2 x5-1
1/2 + x + 3/2 x3 – 1/2 x4
2. y4 – 3y3 + 1/2y2 by 3y
Solution:
We have,
(y4 – 3y3 + 1/2y2)/ 3y
y4/3y – 3y3/3y + (½)y2/3y
By using the formula an / am = an-m
1/3 y4-1 – y3-1 + 1/6 y2-1
1/3y3 – y2 + 1/6y
3. -4a3 + 4a2 + a by 2a
Solution:
We have,
(-4a3 + 4a2 + a) / 2a
-4a3/2a + 4a2/2a + a/2a
By using the formula an / am = an-m
-2a3-1 + 2a2-1 + 1/2 a1-1
-2a2 + 2a + ½
4. –x6 + 2x4 + 4x3 + 2x2 by √2x2
Solution:
We have,
(–x6 + 2x4 + 4x3 + 2x2) / √2x2
-x6/√2x2 + 2x4/√2x2 + 4x3/√2x2 + 2x2/√2x2
By using the formula an / am = an-m
-1/√2 x6-2 + 2/√2 x4-2 + 4/√2 x3-2 + 2/√2 x2-2
-1/√2 x4 + √2x2 + 2√2x + √2
5. -4a3 + 4a2 + a by 2a
Solution:
We have,
(-4a3 + 4a2 + a) / 2a
-4a3/2a + 4a2/2a + a/2a
By using the formula an / am = an-m
-2a3-1 + 2a2-1 + 1/2a1-1
-2a2 + 2a + ½
6. √3a4 + 2√3a3 + 3a2 – 6a by 3a
Solution:
We have,
(√3a4 + 2√3a3 + 3a2 – 6a) / 3a
√3a4/3a + 2√3a3/3a + 3a2/3a – 6a/3a
By using the formula an / am = an-m
√3/3 a4-1 + 2√3/3 a3-1 + a2-1 – 2a1-1
1/√3 a3 + 2/√3 a2 + a – 2
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