?
$$\frac{10.3 × 10.3 × 10.3 + 1}{10.3 × 10.3 - 10.3 + 1}$$ is equal to :
Answer & Solution
Correct Answer:
Option
C
Given expression :
$$\eqalign{ & = \frac{{{{\left( {10.3} \right)}^3} + {1^3}}}{{{{\left( {10.3} \right)}^2} - \left( {10.3 \times 1} \right) + {1^2}}} \cr & = \left( {\frac{{{a^3} + {b^3}}}{{{a^2} - ab + {b^2}}}} \right) \cr & = (a + b) \cr & = \left( {10.3 + 1} \right) \cr & = 11.3 \cr} $$
$$\eqalign{ & = \frac{{{{\left( {10.3} \right)}^3} + {1^3}}}{{{{\left( {10.3} \right)}^2} - \left( {10.3 \times 1} \right) + {1^2}}} \cr & = \left( {\frac{{{a^3} + {b^3}}}{{{a^2} - ab + {b^2}}}} \right) \cr & = (a + b) \cr & = \left( {10.3 + 1} \right) \cr & = 11.3 \cr} $$
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