# Class 8 RD Sharma Solutions – Chapter 8 Division Of Algebraic Expressions – Exercise 8.3

### Question 1. Divide x + 2x2 + 3x4 – x5 by 2x

Solution:

Here,

(x + 2x2 + 3x4 – x5) / 2x

x/2x + 2x2/2x + 3x4/2x – x5/2x

By using this 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

### Question 2. Divide y4 – 3y3 + 1/2y2 by 3y

Solution:

Here,

(y4 – 3y3 + 1/2y2)/ 3y

y4/3y – 3y3/3y + (½)y2/3y

By using this formula ⇒ an/am = an-m

1/3 y4-1 – y3-1 + 1/6 y2-1

1/3y3 – y2 + 1/6y

### Question 3. Divide -4a3 + 4a2 + a by 2a

Solution:

Here,

(-4a3 + 4a2 + a) / 2a

-4a3/2a + 4a2/2a + a/2a

By using this formula ⇒ an/am = an-m

-2a3-1 + 2a2-1 + 1/2 a1-1

-2a2 + 2a + 1/2

### Question 4. Divide –x6 + 2x4 + 4x3 + 2x2 by √2x2

Solution:

Here,

(–x6 + 2x4 + 4x3 + 2x2) / √2x2

-x6/√2x2 + 2x4/√2x2 + 4x3/√2x2 + 2x2/√2x2

By using this 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

### Question 5. Divide -4a3 + 4a2 + a by 2a

Solution:

Here,

(-4a3 + 4a2 + a) / 2a

-4a3/2a + 4a2/2a + a/2a

By using this formula ⇒ an/am = an-m

-2a3-1 + 2a2-1 + 1/2a1-1

-2a2 + 2a + 1/2

### Question 6. Divide √3a4 + 2√3a3 + 3a2 – 6a by 3a

Solution:

Here,

(√3a4 + 2√3a3 + 3a2 – 6a) / 3a

√3a4/3a + 2√3a3/3a + 3a2/3a – 6a/3a

By using this 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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