Respuesta :

Step-by-step explanation:

[tex] {a}^{3} + {a}^{2} b + a {b}^{2} [/tex]

[Taking a common from each term]

[tex] = a( {a}^{2} + ab + {b}^{2} )[/tex]

[tex]as \: {a}^{2} + ab + {b}^{2} = {(a + b)}^{2} [/tex]

Hence,

[tex] = a {(a + b)}^{2} (ans)[/tex]