## 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

Objective questions :
Tick the correct answer in each of the following :

Question 1.
Solution:

Question 2.
Solution:
(3q + 7p2 – 2r3 + 4) – (4p2 – 2q + 7r3 – 3)
= 3q + 7p2 – 2r3 + 4 – 4p2 + 2q – 7r3 + 3
= 5q + 3p2 – 9r3 + 7 = 3p2 + 5q – 9r3 + 7 (d)

Question 3.
Solution:
(x + 5) (x – 3) = x2 + (5 – 3) x + 5 X ( – 3)
= x2 + 2x – 15 (d)

Question 4.
Solution:
(2x + 3) (3x – 1)
= 6x2 – 2x + 9x – 3
= 6x2 + 7x – 3 (b)

Question 5.
Solution:
(x + 4) (x + 4)
= x2 + (4 + 4) x + 4 X 4
= x2 + 8x + 16 (c)

Question 6.
Solution:
(x – 6) (x – 6)
= x2 + ( – 6 – 6) x + ( – 6) ( – 6)
= x2 – 12x + 36 (d)

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

Question 8.
Solution:

Question 9.
Solution:
(2x2 + 3x + 1) ÷ (x + 1)

= 2x +1 (b)

Question 10.
Solution:
(x2 – 4x + 4) ÷ (x – 2)

= x – 2 (a)

Question 11.
Solution:
(a + 1) (a – 1) (a2 + 1)
= (a2 – 1) (a2 + 1)
= a4 (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
a2 + b2
= (a + b)2 – 2ab
= (12)2 – 2 x 14
= 144 – 28
= 16 (b)

Question 18.
Solution:
a – b = 7, ab = 9
a2 + b2
= (a – b)2 + 2ab
= (7)2 + 2 x 9
= 49 + 18
= 67 (a)

Question 19.
Solution:
x = 10
4x2 + 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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