Respuestas
Resolver los Productos:
A. (m - n) (m + n)
(m)(m) + (m)(n) – (m)(n) + (n)(n)
m² + n²
B. (3m - 5) (3m + 5)
(3m)(3m) + (3m)(5) – (3m)(5) – (5)(5)
9m² - 25
C. (8 – 3x)(8 + 3x)
(8)(8) + (8)(3x) – (8)(3x) – (3x)(3x )
64 – 9x²
Resolver los cubos.
a) (3 - x)³
(3)³ – 3(3)²(x) + 3(3)(x)² – (x)³
27 – 27x + 9x² – x³
– x³ + 9x² – 27x + 27
c) (B4 – 2a)³
(B4)³ - 3(B4)²(2a) + 3(B4)(2a)² – (2a)³
B4³ - 6aB4² + 12a²B4 – 8a³
– 8a³ + 12a²B4 - 6aB4² + B4³
d) (2x³ – 2y)³
(2x³)³ - 3(2x³)²(2y) + 3(2x³)(2y)² – (2y)³
2x⁹ – 12x⁶y + 12 x³y² – 8y³
Aplicar el Triángulo de Pascal.
a) (x - 3)⁷
(x)⁷(3)⁰ – 7(x)6(3)0 + 21(x)5(3)1 –35 (x)4(3)2 + 35(x)3(3)3 – 21(x)2(3)4 + 7(x)1(3)5 – (x)0(3)6
X⁷ – 7x⁶ + 21x⁵(3) – 35x⁴(9) + 35x³(27) – 21x²(81) + 7x(243) – (729)
X⁷ – 7x⁶ + 63x⁵ – 315x⁴ + 945x³ – 1.701x² + 1.701x – 729
b) (m - 5)¹²
(m)¹²(5)⁰ – (m)¹¹(5)¹ + (m)¹⁰(5)² – (m)⁹(5)³ + (m)⁸(5)⁴ – (m)⁷(5)⁵ + (m)⁶(5)⁶ – (m)⁵(5)⁷ + (m)⁴(5)⁸ – (m)³(5)⁹ + (m)²(5)¹⁰ – (m)¹(5)¹¹ + (m)⁰(5)¹²
m12– 5m¹¹ + 25m¹⁰ – 125m⁹ + 625m⁸ – 3.125m⁷ + 15.625m⁶ – 78.125m⁵ + 390.625m⁴ – 1.953.125m³ + 9.765.625m² – 48.828.125m + 244.140.625
c) (4x + 2y)¹¹
Se deja para que el interesado practique y amplíe sus conocimientos del tema resolviéndolo, sobre lavase de lo aquí explicado.