## RS Aggarwal Class 8 Solutions Chapter 6 Operations on Algebraic Expressions Ex 6E

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6E.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6A
- RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6B
- RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6C
- RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6D
- RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6E

**Objective questions :**

**Tick the correct answer in each of the following :**

**Question 1.**

**Solution:**

**Question 2.**

**Solution:**

(3q + 7p^{2} – 2r^{3} + 4) – (4p^{2} – 2q + 7r^{3} – 3)

= 3q + 7p^{2} – 2r^{3} + 4 – 4p^{2} + 2q – 7r^{3} + 3

= 5q + 3p^{2} – 9r^{3} + 7 = 3p^{2} + 5q – 9r^{3} + 7 (d)

**Question 3.**

**Solution:**

(x + 5) (x – 3) = x^{2} + (5 – 3) x + 5 X ( – 3)

= x^{2} + 2x – 15 (d)

**Question 4.**

**Solution:**

(2x + 3) (3x – 1)

= 6x^{2} – 2x + 9x – 3

= 6x^{2} + 7x – 3 (b)

**Question 5.**

**Solution:**

(x + 4) (x + 4)

= x^{2} + (4 + 4) x + 4 X 4

= x^{2} + 8x + 16 (c)

**Question 6.**

**Solution:**

(x – 6) (x – 6)

= x^{2} + ( – 6 – 6) x + ( – 6) ( – 6)

= x^{2} – 12x + 36 (d)

**Question 7.**

**Solution:**

(2x + 5) (2x – 5)

= (2x)^{2} – (5)^{2}

= 4x^{2} – 25

**Question 8.**

**Solution:**

**Question 9.**

**Solution:**

(2x^{2} + 3x + 1) ÷ (x + 1)

= 2x +1 (b)

**Question 10.**

**Solution:**

(x^{2} – 4x + 4) ÷ (x – 2)

= x – 2 (a)

**Question 11.**

**Solution:**

(a + 1) (a – 1) (a^{2} + 1)

= (a^{2} – 1) (a^{2} + 1)

= a^{4} (c)

**Question 12.**

**Solution:**

**Question 13.**

**Solution:**

\(\left( { x }+\frac { 1 }{ { x } } \right) =5\)

Squaring on both sides

**Question 14.**

**Solution:**

\(\left( { x }-\frac { 1 }{ { x } } \right) =6\)

Squaring on both sides

**Question 15.**

**Solution:**

(82)^{2} – (18)^{2}

= (82 + 18) (82 – 18)

= 100 x 64

= 6400 (c)

**Question 16.**

**Solution:**

(197 x 203)

= (200 – 3) (200 + 3)

= (200)^{2} – (3)^{2}

= 40000 – 9

= 39991 (a)

**Question 17.**

**Solution:**

a + b = 12, ab = 14

a^{2} + b^{2}

= (a + b)^{2} – 2ab

= (12)^{2} – 2 x 14

= 144 – 28

= 16 (b)

**Question 18.**

**Solution:**

a – b = 7, ab = 9

a^{2} + b^{2}

= (a – b)^{2} + 2ab

= (7)^{2} + 2 x 9

= 49 + 18

= 67 (a)

**Question 19.**

**Solution:**

x = 10

4x^{2} + 20x + 25

= (2x)^{2} + 2 x 2x x 5 + (5)^{2}

= (2x + 5)^{2}

= (2 x 10 + 5)

= (20 + 5)^{2}

= (25)^{2}

= 625 (c)

Hope given RS Aggarwal Solutions Class 8 Chapter 6 Operations on Algebraic Expressions Ex 6E are helpful to complete your math homework.

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