(i) We know, (a+b)2 = a2 + b2 +2ab
Here,
a = 175 and b = 25
(175 x 175) + (2 x 175 x 25) + (25 x 25)
= (175 + 25)2 = (200)2 = 40000
(ii) We know, (a+b)2 = a2 + b2 -2ab
Here,
a = 322 and b = 22
(322 x 322) - (2 x 32 x 22) + (22 x 22)
= (322 - 22)2 = (300)2 = 90000
(iii) We know, (a+b)2 = a2 + b2 +2ab
Here,
a = 0.76 and b = 0.24
= (0.76 x 0.76) + (2 x 0.76 x 0.24) + (0.24 x 0.24)
= (0.76 + 0.24)2 = (1)2 = 1
(iv) We know, (a - b)2 = (a - b)(a + b)
Here,
a = 7.83 and b = 1.17
= 9