Evaluate each of the following using identities:
(i)
(ii) (2x+y) (2x-y)
(iii)
(iv) (a – 0.1) (a +0.1)
(v)
(i) We know, (a-b)2 = a2 + b2 -2ab
(ii) We know, (a-b)2 = (a+b) (a-b)
(2x+y) (2x-y) = (2x)2– y2 = 4x2 – y2
(iii) We know, (a-b)2 = a2 + b2 -2ab
(iv) We know, (a-b)2 = (a+b) (a-b)
(a – 0.1) (a +0.1) = (a)2– (0.1)2
= a2 – 0.01
(v) We know, (a-b)2 = a2 - b2