# Worksheet for Algebraic Expressions and Identities Class 8 Maths Chapter 9 CBSE

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Question 1
Use a suitable identity to get each of the following products.
a) (p - 11) (p + 11)
b) (2y + 5) (2y - 5)
c) (12a - 9) (12a +9)
d) (2a-1/2)(2a-1/2)
e) (1.1m - 0.4) (1.1m + 0.4)
f) (a2+ b2) (- a2+ b2)
g) (6x - 7) (6x + 7)
h) (- a/2 + c/2) (- a/2 + c/2)
i) [(p/8)+(3q/4)] [(p/8)+(3q/4)]
j) (3a + 9b) (3a - 9b)
k) 2(a - 9)2
l) 5(xy - 3z)2
m) (6x+ 5y)2
n) 36[(3p/2}) + (2q/3)]2
o) (x - 0.5y)2
p) (2xy - 5y)2

Question 2
Use the identity (x + a) (x + b) = x+ (a + b) x + ab to find the following products.
(i) (p + 10) (p + 11)
(ii) (4x + 9) (4x + 12)
(iii) (x - 5) (x - 1)
(iv) (9x - 5) (9x - 1)
(v) (2x + 5y) (2x + 3y)
(vi) (2a2+ 9) (2a2+ 5)

Question 3
Simplify the following
(i) (x2- y2)2 + 4x2y2
(ii) (p + q)2- (p - q)2 + p2q2
(iii) (2m - 8n)2+ (2m + 8n)2
(iv) (4m + 5n)2+ (5m + 4n)2 + (4m + 5n) (4m -5n)
(v) (.5p - 1.5q)2- (.5p - 1.5q)2 +p2q2
(vi) (ab - bc)2+2ab²c
(vii) (m2- n2m)2+ 2m2n2

Question 4
Using identities, evaluate.
a) 91²
b) 89²
c) 2022
d) 999²
e) 1.2²
f) 397 x 403
g) 48 x 52
h) 5.12
i) 612- 592
j) 11.12- 9.92
k) 503 x 504
l) 2.1 x 2.2
m) 103 x 98
n) 9.7 x 9.8
o) 7292- 2712

Question 5
Find the value of x if 8x=352 -272

Question 6
a) If a -1/a =4, find the value of a2 + 1/a2
b) If p +q =13 and pq =22, then p2 + q2