1.

The value of \(\frac{{4.35 \times 4.35 \times 4.35 + 3.25 \times 3.25 \times 3.25}}{{43.5 \times 43.5 + 32.5 \times 32.5 - 43.5 \times 32.5}}\) is:1. 0.762. 0.00763. 7.64. 0.076

Answer» Correct Answer - Option 4 : 0.076

Formula used:

a3 + b3 = (a + b) × (a2 + b2 – a × b)

Calculation:

[(4.35)3 + (3.25)3]/[(43.5)2 + (32.5)2 – 43.5 × 32.5]

⇒ [(4.35 + 3.25) × {(4.35)2 +(3.25)2 - (4.35 × 3.25)}]/[100 × {(4.35)2 + (3.25)2 – (4.35 × 3.25)}]

⇒ [4.35 + 3.25]/100

⇒ 7.6/100

⇒ 0.076

∴ The answer is 0.076 



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