Question

Factorizar
8(a+1)³ - 1​

Answer 1

Hola!

Respuesta:

$= (2a + 1)(4 {a}^{2} + 10a + 7)$

Explicación:

■ Solución:

$8 {(a + 1)}^{3} - 1 = {2}^{3} {(a + 1)}^{3} - 1 \\ \\ = {(2(a + 1))}^{3} - {1}^{3} \\ \\ = {(2a + 2)}^{3} - {1}^{3} \\ \\ = ((2a + 2) - 1)( {(2a + 2)}^{2} + (2a + 2)(1) + {(1)}^{2} ) \\ = (2a + 1)(4 {a}^{2} + 8a + 4 + 2a + 2 + 1) \\ = (2a + 1)(4 {a}^{2} + 10a + 7)$