## RS Aggarwal Class 6 Solutions Chapter 8 Algebraic Expressions Ex 8C

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

**Other Exercises**

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

**Question 1.**

**Solution:**

(i) The required sum

= 3x + 7x

= (3 + 7) x

= 10x

**Question 2.**

**Solution:**

(i) Adding columnwise,

we get

**Question 3.**

**Solution:**

(i) Arranging the like terms columnwise and adding, we get :

**Question 4.**

**Solution:**

(i) We have :

2x – 5x = (2 – 5)x = – 3x

(ii) We have :

6x – y – (- xy) = 6xy + xy = 7xy

(iii) We have : 5b – 3a

(iv) We have : 9y – ( – 7x) = 9y + 7x

(v) We have : – 7x^{2} – 10x^{2} = ( – 7 – 10)x^{2}

= – 17x^{2}

(vi) We have : b^{2} – a^{2} – (a^{2} – b^{2})

= b^{2} – a^{2} – a^{2} + b^{2}

= b^{2} + b^{2} – a^{2} – a^{2}

= (1 + 1) b^{2} + ( – 1 – 1) a^{2}

= 2b^{2} – 2a^{2}

**Question 5.**

**Solution:**

(i) Arranging the like terms columnwise, we get :

**Question 6.**

**Solution:**

(i) Rearranging and collecting the like terms, we get :

**Question 7.**

**Solution:**

We have:

**Question 8.**

**Solution:**

We have :

A = 7x^{2} + 5xy – 9y^{2}

B = – 4x^{2} + xy + 5y^{2}

C = 4y^{2} – 3x^{2} – 6xy

= 0+0+0 = 0

Hence the result

**Question 9.**

**Solution:**

Required expression

**Question 10.**

**Solution:**

Substituting the values of P, Q, R and S, we have :

P + Q + R + S = (a^{2} – b^{2} + 2ab)

**Question 11.**

**Solution:**

Required expression

**Question 12.**

**Solution:**

Required expression

**Question 13.**

**Solution:**

Required expression

**Question 14.**

**Solution:**

Required expression

**Question 15.**

**Solution:**

Sum of 5x – 4y + 6z and – 8x + y – 2z

= 5x – 4y + 6z – 8x + y – 2z

= 5x – 8x – 4y + y + 6z – 2z

= – 3x – 3y + 4z

Sum of 12x – y + 3z and – 3x + 5y – 8z

= 12x – y + 3z – 3x + 5y – 8z

= 12x – 3x – y + 5y + 3z – 8z

= 9x + 4y – 5z

**Question 16.**

**Solution:**

Required expression

**Question 17.**

**Solution:**

Required expression

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

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