Question -
Answer -
(i) 175 x 175 +2 x 175 x 25 + 25 x 25 = (175)2 +2 (175) (25) + (25)2
= (175 + 25)2
[Becausea2+ b2+2ab = (a+b)2 ]
= (200)2
= 40000
So, 175 x 175 +2 x 175x 25 + 25 x 25 = 40000.
(ii) 322 x 322 – 2 x 322 x 22 + 22 x 22
= (322)2 –2 x 322 x 22 + (22)2
= (322 – 22)2
[Becausea2+ b2-2ab = (a-b)2]
= (300)2
= 90000
So, 322 x 322 – 2 x322 x 22 + 22 x 22= 90000.
(iii) 0.76 x 0.76 + 2 x 0.76 x 0.24 + 0.24 x0.24
= (0.76) 2 +2 x 0.76 x 0.24 + (0.24) 2
= (0.76+0.24) 2
[Because a2+ b2+2ab = (a+b)2]
= (1.00)2
= 1
So, 0.76 x 0.76 + 2 x0.76 x 0.24 + 0.24 x 0.24 = 1.
(iv)
