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




In this page we have Worksheet for Algebraic Expressions and Identities Class 8 Maths Chapter 9 CBSE . Hope you like them and do not forget to like , social share and comment at the end of the page.
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


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