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

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 : – 7x² – 10x² = ( – 7 – 10)x²
= – 17x²
(vi) We have : b² – a² – (a² – b²)
= b² – a² – a² + b²
= b² + b² – a² – a²
= (1 + 1) b² + ( – 1 – 1) a²
= 2b² – 2a²

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 = 7x² + 5xy – 9y²
B = – 4x² + xy + 5y²
C = 4y² – 3x² – 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 = (a² – b² + 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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