Question

alguien me ayuda por favor​

Answer 1

Respuesta:

$\bold{{a}^{8} }$

Explicación paso a paso:

RESOLUCIÓN:

$\bold{( {a}^{4} + {b}^{4} )( {a}^{2} + {b}^{2} )(a + b)(a - b) + {b}^{8} }$

Producto notable:

$\bold{(x + y)(x - y) = {x}^{2} - {y}^{2} }$

Aplicar el producto notable:

$\bold{( {a}^{4} + {b}^{4} )( {a}^{2} + {b}^{2} ) \red{(a + b)(a - b) }+ {b}^{8} }$

$\bold{( {a}^{4} + {b}^{4} )( {a}^{2} + {b}^{2} ) \red{( {a}^{2} - {b}^{2} )}+ {b}^{8} }$

$\bold{( {a}^{4} + {b}^{4} ) \green{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2} )}+ {b}^{8} }$

$\bold{( {a}^{4} + {b}^{4} ) \green{( {a}^{4} - {b}^{4} )}+ {b}^{8} }$

$\bold{ \blue{( {a}^{4} + {b}^{4} ) ( {a}^{4} - {b}^{4} )}+ {b}^{8} }$

$\bold{ \blue{( {a}^{8} - {b}^{8} )}+ {b}^{8} }$

$\bold{ {a}^{8} \red{ - {b}^{8} + {b}^{8} }}$

$\bold{ {a}^{8} }$