Question

FACTORIZAR SEGUN CORRESPONDA CON EXPLICACION PASO A PASO
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Answer 1

Respuesta:

Artificio de criterios exponenciales

Artificio de diferencia de cubos

espero haberte ayudado, suerte.

Answer 2

Respuesta:

Explicación paso a paso:

Todo es suma y diferencia de cubos

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

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∴

a.

216m⁶ - 1331

= (6m²)³ - 11³

= [6m² - 11] [(6m²)² + (6m²)(11) + 11²]

= [6m² - 11] [36m⁴ + 66m² + 121]

b.

512a⁶ - 8b³

= (8a²)³ - (2b)³

= [8a² - 2b] [(8a²)² + (8a²)(2b) + (2b)²]

= [8a² - 2b] [64a⁴ + 16a²b + 4b²]     sacamos cuarta

= [8a² - 2b] 4[16a² + 4a²b + b²]       mitad

= 2[4a² - b] 4[16a² + 4a²b + b²]

= 8[4a² - b] [16a² + 4a²b + b²]

c.

m³/8 - 1/27

= (m/2)³ - (1/3)³

= [m/2 - 1/3] [(m/2)² + (m/2)(1/3) + (1/3)²]

= [m/2 - 1/3] [m²/4 + m/6 + 1/9]

d.

1 + 1000m³

= 1³ + (10m)³

= [1 + 10m} [ 1² - (1)(10m) + (10m)² ]

= [1 + 10m] [ 1 - 10m + 100m²]