Binomio al cubo



(4x² + 6)³
(4x²)³ + 3(4x²)² (6) + 3(4x²) (6)² + (6)³
64x⁶ + 3(16x⁴) (6) + 3(4x²)(36) + 216
64x⁶ + 288x⁴ + 432x² + 216

Comprobación:
Por propiedad asociativa primero [(4x² + 6) (4x² + 6)] y después (4x² + 6)
16x⁴+ 24x² + 24x² + 36
(16x⁴+ 48x² + 36) (4x² + 6)
64x⁶ + 96x⁴ + 192x⁴ + 288x² + 144x² + 216
64x⁶ + 288x⁴ + 432x² + 216

(x-2)³
x³ - 3(x)² (2) + 3 (x) (2)² -2³
x³ - 6x² + 12x -8

Comprobación:
(x-2)³
(x-2) (x-2) (x-2)
x² -2x -2x +4
(x² -4x +4) (x-2)
x³ -2x² -4x² + 8x + 4x -8
x³ - 6x² + 12x -8






Resultados del ejercicio del video:

(x²-3y)³
(x²)³ -3(x²)²(3y) + 3(x²)(3y)² –(3y)³
x⁶ - (3x⁴)(3y) + (3x²)(9y²) -27y³
x -9xy + 27x²y² -27y³


(a³+2b²)³
(a³)³ +3(a³)² (2b²) + 3(a³)(2b²)²+(2b²)³
a⁹ + (a⁶) (6b²) + (a³)(12b⁴)+8b⁶
a⁹ + 6ab² + 12a³b⁴+8b⁶


(1-n²)³
(1)³ -3(1)²(n²) + 3(1)(n²)² –(n²)³
1 - (3)(n²) + (3)(n⁴) –n⁶
1 - 3n² + 3n⁴ –n⁶

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