Question

10.1x10.2
Evaluate using identity

Answer 1

x^2+(a+b)x+ab

10^2+(0.1+0.2)10+(0.1^0.2)

100+0.3^10+0.2

100+3+0.02

103.02

Answer 2

a) 10.1 x 10.2 = (10 + 0.1) (10 + 0.2) b) 9.8 x 10.2 = (10 - 0.2) (10 + 0.2)

(x + a) (x + b) = x2 + (a + b) x + (a)(b) (a - b) (a + b) = a2 - b2

a = 0.1, b = 0.2 & x = 10 a = 10 & b = 0.2

(10 + 0.1) (10 + 0.2) (10)2 - (0.2)2

10 (10 + 0.2) + 0.1 (10 + 0.2) 100 - 0.04

100 + 2 + 1 + 0.02 99.96

102 + 1.02

103.02

☆☆☆HOPE THIS MAY HELPS YOU ☆☆☆☆