Question

Evaluate using identities: (a) 33 x 32 (b) (97)² (c) (106)² (d) 10.2 x 9.8 (e) 23 x 18


class 8th please give aswer fast
as fast as possible and also give correct answer. ​

Answer 1

Answer:

(a) 1086

(b) 9409

(c) 11236

(d) 99.96

(e) 414

Step-by-step explanation:

(a) (30 + 3)(30 + 2) = (30)^2 + 30(3 + 2) + 3 x 2 = 900 + 180 + 6 = 1086

(b) (100 - 3)^2 = 10000 - 2.100.3 + 9 = 10009 - 600 = 9409

(c) (100 + 6)^2 = 10000 + 2.100.6 + 36 = 10036 + 1200 = 11236

(d) 10.2 x 9.8 = (10 + 0.2)(10 - 0.2) = 100 - 0.04 = 99.96

(e) (20 + 3)(20 - 2) = 400 + 20(3 - 2) - 6 = 400 + 14 = 414