Question

factorizar
${x}^{6} - {y}^{6}$
resolucion​

Answer 1

${x}^{6} - {y}^{6}$

Para factorizar debemos recordar:

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

Podemos hacerlo mediante la expresión anterior:

${x}^{6} - {y}^{6} = ( {x}^{2} - {y}^{2})( {x}^{4} + {x}^{2} {y}^{2} + {y}^{4} )$