Question

simplificati fractia ordinara 2*75-2*71 pe 2*74+2*71 până devine ireductibila.
va rogg:(

Answer 1

Răspuns:

$\frac{2 {}^{75} - {2}^{71} }{2 {}^{74} + {2}^{72} } = > \frac{(2 {}^{4} - 1) \times {2}^{71} }{( {2}^{2} + 1) \times {2}^{72} } = > \frac{16 - 1}{(4 + 1) \times 2} = > \frac{15}{5 \times 2} = > \frac{3}{2}$

sper ca este corect

Answer 2

$\frac{ {2}^{75} - {2}^{71} }{ {2}^{74} + {2}^{72}} = \frac{ {2}^{71} \times ( {2}^{4} - 1) }{{2}^{72} \times ( {2}^{2} + 1)} = \frac{ {2}^{4} - 1}{ {2}^{3} + 2 } = \frac{15}{10} = \frac{3}{2}$