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Coordinate Geometry

Question
CBSEENMA9001837

Simplify:

fraction numerator 73 cross times 73 cross times bold 73 bold cross times bold 27 bold cross times bold 27 bold cross times bold 27 over denominator bold 73 bold cross times bold 73 bold minus bold 73 bold cross times bold 27 bold plus bold 27 bold cross times bold 27 end fraction

Solution
fraction numerator 73 cross times 73 cross times bold 73 bold cross times bold 27 bold cross times bold 27 bold cross times bold 27 over denominator bold 73 bold cross times bold 73 bold minus bold 73 bold cross times bold 27 bold plus bold 27 bold cross times bold 27 end fraction
equals fraction numerator left parenthesis 73 right parenthesis cubed plus left parenthesis 27 right parenthesis cubed over denominator left parenthesis 73 right parenthesis squared minus left parenthesis 73 right parenthesis left parenthesis 27 right parenthesis plus left parenthesis 27 right parenthesis squared end fraction
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                            | Using Identity VI
= 73 +27 = 100