Question

$frac{ 6^{6} * 2^{3}-3^{6}}{6^{6}+6^{3}*3^{3}+3^{6}}$
Надо сократить

Answer 1

$frac{ 6^6 cdot2^3-3^6}{6^6+6^3cdot3^3+3^6} = frac{ 3^6 cdot2^6cdot2^3-3^6}{3^6 cdot2^6+3^3 cdot2^3cdot3^3+3^6} = frac{ 3^6 cdot2^9-3^6}{3^6 cdot2^6+3^6 cdot2^3+3^6} = frac{ 3^6 (2^9-1)}{3^6(2^6+2^3+1)} = \ = frac{ 2^9-1}{2^6+2^3+1} = frac{ (2^3-1)(2^6+2^3+1)}{2^6+2^3+1} = 2^3-1=8-1=7$