8. Using (x + a) (x + b) = x2 + (a + b) x + ab, find
(i) 103 x 104 (ii) 5.1 x 5.2 (iii) 103 x 98
(iv) 9.7 x 9.8
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(i) (100+3)(100+4)
= (100)²+(3+4)100+3*4
= 10000+700+12
=10712
(ii) (5.0+0.1)(5.0+0.2)
= (5)²+(0.1+0.2)5+0.1*0.2
= 25+1.5+0.02
= 26.52
(iii) (100+3)(100+(-2))
= (100)²+(3+(-2))100+3*(-2)
= 10000+100-6
= 10096
(iv) (9.0+0.7)(9.0+0.8)
= (9)²+(0.7+0.8)9+0.7*0.8
= 81+13.5+0.56
= 95.06
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