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Important questions for Algebraic Expressions and Identities Class 8 Maths CBSE Part 4



In this page we have Important questions for Algebraic Expressions and Identities Class 8 Maths CBSE Part 4 . 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 +)

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)– (p – q)2 + p2q2

 (iii) (2m – 8n)2+ (2m + 8n)2

 (iv) (4m + 5n)+ (5m + 4n)2 + (4m + 5n) (4m -5n)

 (v) (.5p – 1.5q)– (.5p – 1.5q)2 +p2q2

 (vi) (ab - bc)2+2ab²c

 (vii) (m– n2m)+ 2m3n2

 

 

 

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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