Question

Factoriza: 27 - 108n + 144n2 - 64n3

Answer 1

Respuesta:

es (3-4n)²

Explicación paso a paso:

$27 - 108n + 144 {n}^{2} - 64 {n}^{3} \\ {3}^{3} - 3 \times 9 \times 4n + 3 \times 3 \times 16 {n}^{2} - {4}^{3}{n}^{3} \\{3}^{3} - 3 \times {3}^{2} \times 4n + 3 \times 3 \times {4}^{2}{n}^{2} - (4n {)}^{3} \\ {3}^{3} - 3 \times {3}^{2} \times 4n + 3 \times 3 \times (4n {)}^{2} - (4n {)}^{3} \\ (3 - 4n {)}^{3}$

Espero te ayude, saludos