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What is the value of \(\frac{2.75 \times 2.75 \times 2.75 - 2.25 \times 2.25 \times 2.25}{2.75 \times 2.75 + 2.75 \times 2.25 + 2.25 \times 2.25}\)

What is the value of \(\frac{2.75 \times 2.75 \times 2.75 - 2.25 \times 2.25 \times 2.25}{2.75 \times 2.75 + 2.75 \times 2.25 + 2.25 \times 2.25}\) Correct Answer <span class="math-tex">\(\frac{1}{2}\)</span>

Formula used :

a3 – b3 = (a – b) (a2 + b2 + ab) 

Calculations :

2.753 – 2.253 = (2.75 – 2.25) (2.752 + 2.252 + 2.75 × 2.25)

2.753 – 2.253/(2.75 × 2.75 + 2.25 × 2.25 + 2.75 × 2.25) = 2.75 – 2.25

⇒ 0.5 

⇒ 1/2 

∴ Option 4 is the correct choice.

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