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Question
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Solution
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
= (1.81)2 - (1.81 x 2.19) + (2.19)2
= (1.81)2 - (1.81 x 2.19) + (2.19)2 - (1.81 x 2.19) + (1.81 x 2.19)
= (1.81)2 - (1.81 x 2.19) + (2.19)2 - (1.81 x 2.19)
= (1.81 - 2.19)2 + (2.00 - 0.19)2 + (1.81 x 2.19)
= (0.38)2 + (4 - (0.19)2)
= 0.1444 + (4 - 0.0361)
= 0.1444 + 3.9639
= 4.1083.
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