As easy as abc

Algebra Level 4

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

Find the value of the expression above when \(a=1.3^{2},b=1.3^{2}+0.2^{2},c=0.7^{2}-0.1^{2}\).

Source from SMO
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