Question

Evaluate the following:- (2.051)² - (1.001)²​

Answer 1

Answer:

(i) (1001)2 Hence we take as , 1001 as 1000 + 1 So, = (1001)2 = (1000 + 1)2 = (1000)2 + 2 (1000) (1) + 12 = 1000000 + 2000 + 1 = 1002001 (ii) (999)2 Hence we take as , 999 as 1000 – 1 So, = (999)2 = (1000 – 1)2 = (1000)2 – 2 (1000) (1) + 12 = 1000000 – 2000 + 1 = 998001

Answer 2

Step-by-step explanation:

$(2.051)² - (1.001)²$

$4.206601 - 1.002001$

$3.2046$