(i) 28×32=28×(30+2)
=840+56
=896
(ii) 102×98=102×(100−2)
=102×100−102×2
=10200−204
=9996
Simplify the following using the identities:
(i) 582−42216(ii) 178×178−22×22(iii) 198×198−102×10296(iv) 1.73×1.73−0.27×0.27(v) 8.63×8.63−1.37×1.370.726
Evaluate the following using suitable identities:
(i) (99)3 (ii) (102)3 (iii) (998)3