Question

Choose correct expansion of (102)²
(l00+ 2)2 = 1002 + 8 x 100 x2 +22
(100-2)2 = 1002.
3 x 100x2 - 22
(100-2)2 =1002 - 2x 100 x2 + 22
(100+2)2 = 1002 2x100x2 + 22​

Answer 1

Step-by-step explanation:

(102)2 = (100 + 2)2

Here, a = 100 and b = 2

(100 + 2)2 = (100)2 + 2 x 100 x 2 + 22

[(a + b)2 = a2 + 2ab + b2 ] = 10000 + 400 + 4 = 10404

∴ (102)2 = 10404