1.

Solve: \(\frac{{10 \times 10 \times 10 + 9 \times 9 \times 9}}{{10 \times 10 - 10 \times 9 + 9 \times 9}}\)1. 282. 93. 14. 19

Answer» Correct Answer - Option 4 : 19

Given:

\(\frac{{10 × 10 × 10 + 9 × 9 × 9}}{{10 × 10 - 10 × 9 + 9 × 9}}\)

Concept used:

(a3 + b3) = (a + b) × (a2 – ab + b2)

Calculations:

a = 10

b = 9 

⇒ (103 + 93) = (10 + 9) × (102 – 10 × 9 + 92)

Putting the values,

⇒ [(10 + 9) × (102 – 10 × 9 + 92)]/(102 – 10 × 9 + 92)

⇒ 10 + 9

⇒ 19

∴ The result of the given equation is 19


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