Simplify the expression:![Screenshot 2025-05-23 161013.png](https://res.cloudinary.com/aptidude/image/upload/v1747996821/aptidude_questions/pmlr97ietor1tajktqty.png)

Question

Accepted Answer

Step 1: Recognize the numerator and denominator forms.

The numerator is of the form: a^3 + b^3 + c^3 - 3abc
The denominator is of the form: a^2 + b^2 + c^2 - ab - bc - ca

Step 2: Use the identity:

If a + b + c = k, then
(a^3 + b^3 + c^3 - 3abc) = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)

This means:

Numerator = (a + b + c) × Denominator

Step 3: Calculate a + b + c:

232 + 140 + 353 = 725

Step 4: Therefore,

Expression = Numerator / Denominator = (a + b + c) × Denominator / Denominator = a + b + c = 725

Hence, the simplified value of the expression is 725.

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