Question

ayuda no logro resolverlo...
factorizar en tres factores a+b-a³+ab²+a²b-b³

Answer 1

Respuesta:

a + b - a³ + ab² + a²b - b³ = (a + b)(1 + a - b)(1 - a + b)

Explicación paso a paso:

a + b - a³ + ab² + a²b - b³

(a + b) - a(a² - b²) + b(a² - b²)

(a + b) - a(a + b)(a - b) + b(a + b)(a - b)

(a + b)(1 - a(a - b) + b(a - b))

(a + b)(1 - (a - b)(a - b))

(a + b)(1 - (a - b)²)

(a + b)(1² - (a - b)²)

(a + b)(1 + (a - b))(1 - (a - b))

(a + b)(1 + a - b)(1 - a + b)