Question

factorizar
${a}^{2} - {b}^{2} + {a}^{3} - {b}^{3}$
​

Answer 1

a² - b² + a³ - b³

(a + b)(a - b) + (a - b)(a² - ab + b²)

(a - b) [ (a+b) + (a²- ab + b²) ]

(a - b) [ (a+b + a²- ab + b² ]

Eternamente axllxa

Answer 2

Respuesta:

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

Explicación paso a paso:

${a}^{2} - {b}^{2} + {a}^{3} - {b}^{3}$

• Recuerda:
• ${a}^{2} - {b}^{2} = (a - b)(a + b)$
• ${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$
• Reemplazando:

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

Espero que te sirva ;)