Question

Using (a-b)² = (a²+b²-2ab),evaluate
(9.98)²

Answer 1

$= (10 - 0.02) {}^{2} \\ = 100 - 2 \times 100 \times 0.02 + 0.0004 \\ = 100.0004 - 4 \\ = 96.0004$

Answer 2

Step-by-step explanation:

(10-0.002)^2

(10)^2 + (0.002)^2 -2 (10) (0.02/100)

100 + [4/100 ×100] - (4/10)

100 + 4/10000 - 4/10

100 + 0.0004 - 0.4

ANS = 99.6004