As easy as abc

Algebra Level 4

1 a 2 − a c − a b + b c + 2 b 2 − a b − b c + a c + 1 c 2 − a c − b c + a b \frac{1}{a^{2}-ac-ab+bc}+\frac{2}{b^{2}-ab-bc+ac}+\frac{1}{c^{2}-ac-bc+ab}

Find the value of the expression above when a = 1. 3 2 , b = 1. 3 2 + 0. 2 2 , c = 0. 7 2 − 0. 1 2 a=1.3^{2},b=1.3^{2}+0.2^{2},c=0.7^{2}-0.1^{2} .

Source from SMO


The answer is 20.

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Bryan Lee Shi Yang by Bryan Lee Shi Yang , 17, Malaysia

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1 solution

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8 Helpful 0 Interesting 0 Brilliant 0 Confused

good solution which can be understood easily.

Rama Devi - 6 years ago

Did the same and got it right.

Rama Devi - 6 years ago

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