?
$$\frac{{{{\left( {963 + 476} \right)}^2} + {{\left( {963 - 476} \right)}^2}}}{{\left( {963 \times 963 + 476 \times 476} \right)}} = ?$$
Answer & Solution
Correct Answer:
Option
A
Given expression,
$$ = \frac{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}{{\left( {{a^2} + {b^2}} \right)}}$$ (where a = 963 and b = 476)
$$\eqalign{ & = \frac{{2\left( {{a^2} + {b^2}} \right)}}{{\left( {{a^2} + {b^2}} \right)}} \cr & = 2 \cr} $$
$$ = \frac{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}{{\left( {{a^2} + {b^2}} \right)}}$$ (where a = 963 and b = 476)
$$\eqalign{ & = \frac{{2\left( {{a^2} + {b^2}} \right)}}{{\left( {{a^2} + {b^2}} \right)}} \cr & = 2 \cr} $$
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