Question

AYUDA POR FAVOR
Si\:a+b=4,\:simplifica\:\frac{2^{2b+a}+2^{2a+b}}{2^b+2^a}

Answer 1

Respuesta:

16

Explicación paso a paso:

a + b = 4

$\frac{ {2}^{b + b + a} + {2}^{a + a + b} }{ {2}^{b} + {2}^{a} }$

$\frac{ {2}^{b + 4} + {2}^{a + 4} }{ {2}^{b} + {2}^{a} }$

$\frac{ {2}^{b} \times {2}^{4} + {2}^{a} \times {2}^{4} }{ {2}^{b} + {2}^{a} }$

$\frac{ {2}^{4} \times ( {2}^{b} + {2}^{a} )}{( {2}^{b} + {2}^{a}) }$

${2}^{4}$

$16$