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Question

Question 8(iv)
Using (x+a)(x+b)=x2+(a+b)x+ab, find
9.7×9.8


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Solution

9.7×9.8=[100.3]×[100.2]
=(10)2+((0.3)+(0.2))×10+(0.3)×(0.2)
[Using identity (x+a)(x+b)=x2+(a+b)x+ab]
=100+{0.30.2}×10+0.06
=1000.5×10+0.06
=1005+0.06=95.06


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