## 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.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.