Question

Simplificati si amplificati fractiile de la punctele g si h ( din imagine) asfel incat sa obtineti fractia 15 pe 35.
Help!

Answer 1

$g) \frac{ 2^{n+2}- 2^{n}}{ 2^{n+2}+2^{n+1}+2^{n}}= \frac{2^{n}( 2^{2}-1) }{2^{n}(2^{2}+2^{1}+1)}= \frac{4-1}{4+2+1}= \frac{3}{7}=\frac{15}{35}$


$h) \frac{ 5^{n+1}-2* 5^{n} }{5^{n+1}+2* 5^{n}}= \frac{ 5^{n}( 5^{1}-2 )}{ 5^{n}( 5^{1}+2 )}= \frac{5-2}{5+2}= \frac{3}{7}=\frac{15}{35}$