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Question

Using (x+a)(x+b)=x2+(a+b)x+ab, find
(i) 103×104
(ii) 5.1×5.2
(iii) 103×98
(iv) 9.7×9.8

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Solution

(i) 103×104=(100+3)(100+4)
=10000+(4+3)100+12
=10000+700+12
=10712 Ans.
(ii) 5.1×5.2=(5+0.1)(5+0.2)
=25+(0.3)5+0.02
=25+1.5+0.02=26.52 Ans.
(iii) 103×98=(100+3)(100+(2))
=10000+(32)1006
=10000+1006=10094 Ans.
(iv) 9.7×9.8=(9+0.7)(9+0.8)
=81+(1.5)9+0.56
=81+13.5+0.56
=95.06 Ans.

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