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

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

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 6B.

Other Exercises

Find each of the following products?

Question 1.
Solution:
(5x + 7) X (3x + 4) = 5x(3x + 4) + 7(3x + 4)
= 15x2 + 20x + 21x + 28 = 15x2 + 41x + 28 Ans.

Question 2.
Solution:
(4x + 9) X (x – 6) = 4x(x – 6) + 9(x – 6)
= 4x2 – 24x + 9x – 54
= 4x2 – 15x – 54 Ans.

Question 3.
Solution:
(2x + 5) X (4x – 3) = 2x(4x – 3) + 5(4x – 3)
= 8x2 – 6x + 20x – 15
= 8x2 + 14x – 15 Ans.

Question 4.
Solution:
(3y – 8) X (5y – 1) = 3y(5y – 1) – 8(5y – 1)
= 15y2 – 3y – 40y + 8
= 15y2 – 43y + 8 Ans.

Question 5.
Solution:
(7x + 2y) X (x + 4y)
= 7x(x + 4y) + 2y(x + 4y)
= 7x2 + 28xy + 2xy + 8y2
= 7x2 + 30xy + 8y2 Ans.

Question 6.
Solution:
(9x + 5y) X (4x + 3y) = 9x(4x + 3y) + 5y(4x + 3y)
= 36x2 + 27xy + 20xy + 15y2
= 36x2 + 47xy + 15y2 Ans.

Question 7.
Solution:
(3m – 4n) X (2m – 3n)
= 3m(2m – 3n) – 4n(2m – 3n)
= 6m2 – 9mn – 8mn + 12n2
= 6m2 – 17mn + 12n2 Ans.

Question 8.
Solution:
(x2 – a2) X (x – a)
= x2(x – a) – a2(x – a)
= x3 – x2a – xa2 + a3 Ans.

Question 9.
Solution:
(x2 – y2) X (x + 2y)
= x2(x + 2y) – y2(x + 2y)
= x3 + 2x2y – xy2 – 2y3 Ans.

Question 10.
Solution:
(3p2 + q2) X (2p2 – 3q2)
= 3p2(2p2 – 3q2) + q2(2p2 – 3q2)
= 6p4 – 9p2q2 + 2p2q2 – 3q4
= 6p4 – 7p2q2 – 3q4 Ans.

Question 11.
Solution:
(2x2 – 5y2) X (x2 + 3y2)
= 2x2(x2 + 3y2) – 5y2(x2 + 3y2)
= 2x4 + 6x2y2 – 5x2y2 – 15y4)
= 2x4 + x2y2 – 15y4 Ans.

Question 12.
Solution:
(x3 – y3) X (x2 + y2)
= x3(x2 + y2) – y3(x2 + y2)
= x5 + x3y2 – x2y3 – y5 Ans.

Question 13.
Solution:
(x4 + y4) X (x2 – y2)
= x4(x2 – y2) + y4(x2 – y2)
= x6 – x4y2 + x2y4 – y6 Ans.

Question 14.
Solution:
$$\left( { x }^{ 4 }+\frac { 1 }{ { x }^{ 4 } } \right) \times \left( { x+ }\frac { 1 }{ { x } } \right)$$

Find each of the following products:

Question 15.
Solution:
(x2 – 3x + 7) X (2x + 3)
= (x2 – 3x + 7) (2x) + (x2 – 3x + 7) X 3
= 2x3 – 6x + 14x + 3x2 – 9x + 21
= 2x3 – 3x2 + 5x + 21 Ans.

Question 16.
Solution:
(3x2 + 5x – 9) X (3x – 5)
= 3x2(3x – 5x) + 5x(3x – 5) – 9(3x – 5)
= 9x3 – 15x2 + 15x2 – 25x – 27x + 45
= 9x3 – 52x + 45 Ans.

Question 17.
Solution:
(x2 – xy + y2) X (x + y)
= (x2 – xy + y2) X x + (x2 – xy + y2) X y
= x3 – x2y + xy2 + x2y – xy2 + y3
= x3 + y3 Ans.

Question 18.
Solution:
(x2 + xy + y2) X (x – y)
(x2 + xy + y2) X x + (x2 + xy + y2) X ( – y)
= x3 + x2y + xy2 – x2y – xy2 – y3
= x3 – y3 Ans.

Question 19.
Solution:
(x3 – 2x2 + 5) X (4x – 1)
= (x3 – 2x2 + 5) X 4x + (x3 – 2x2 + 5) X ( – 1)
= 4x4 – 8x3 + 20x – x3 + 2x2 – 5
= 4x4 – 9x3 + 2x2 + 20x – 5 Ans.

Question 20.
Solution:
(9x2 – x + 15) X (x2 – 3)
(9x2 – X + 15) X x2 + (9x2 – x + 15) X ( – 3)
= 9x4 – x3 + 15x2 – 27x2 + 3x – 45
= 9x4 – x3 – 12x2 + 3x – 45 Ans.

Question 21.
Solution:
(x2 – 5x + 8) X (x2 + 2)
= (x2 – 5x + 8) X x2 + (x2 – 5x + 8) X 2
= x4 – 5x3 + 8x2 + 2x2 – 10x + 16
= x4 – 5x3 + 10x2 – 10x + 16 Ans.

Question 22.
Solution:
(x3 – 5x2 + 3x + 1) X (x2 – 3)
= (x3 – 5x2 + 3x + 1) X x2 + (x3 – 5x2 + 3x + 1) X ( – 3)
= x5 – 5x4 + 3x3 + x2 – 3x3 + 15x2 – 9x – 3
= x5 – 5x4 + 16x2 – 9x – 3 Ans.

Question 23.
Solution:
(3x + 2y – 4) X (x – y + 2)

Question 24.
Solution:
(x2 – 5x + 8) X (x2 + 2x – 3)

Question 25.
Solution:
(2x2 + 3x – 7) X (3x2 – 5x + 4)

Question 26.
Solution:
(9x2 – x + 15) X (x2 – x – 1)

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

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