Jawab:
Perpangkatan dan segitiga pascal
segitiga paskal
ke 4 = 1, 4, 6, 4, 1
ke 5 = 1, 5, 10 , 10 , 5, 1
Penjelasan dengan langkah-langkah:
a) (a - 2b)⁴ =
= 1 (a⁴) + 4 (a)³(-2b)¹ + 6(a)²(-2b)² + 4 (a)¹(-2b)³+ 1(-2b)⁴
= a⁴ + 4 a³(-2b) + 6a²(4b²) + 4a (-8b³) + 16b⁴
= a⁴ - 8 a³b + 24 a² b² - 32 ab³ +16b⁴
b) (3m + 5n)⁵ =
= 1 (3m)⁵ + 5 (3m)⁴(5n)¹ + 10(3m)³(5n)² + 10 (3m)²(5n)³+ 5(3m)¹(5n)⁴+1(5n)⁵
= 1(243m⁵)+5(81m⁴)(5n)+10(27m³)(25n²)+10(9m²)(125n³)+5(3m)(625n⁴) + 1(3125n⁵)
= 243m⁵ + 2025m⁴n + 6.750m³n² +11.250m²n³+9.375mn⁴ + 3.125 n⁵
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Jawab:
Perpangkatan dan segitiga pascal
segitiga paskal
ke 4 = 1, 4, 6, 4, 1
ke 5 = 1, 5, 10 , 10 , 5, 1
Penjelasan dengan langkah-langkah:
a) (a - 2b)⁴ =
= 1 (a⁴) + 4 (a)³(-2b)¹ + 6(a)²(-2b)² + 4 (a)¹(-2b)³+ 1(-2b)⁴
= a⁴ + 4 a³(-2b) + 6a²(4b²) + 4a (-8b³) + 16b⁴
= a⁴ - 8 a³b + 24 a² b² - 32 ab³ +16b⁴
b) (3m + 5n)⁵ =
= 1 (3m)⁵ + 5 (3m)⁴(5n)¹ + 10(3m)³(5n)² + 10 (3m)²(5n)³+ 5(3m)¹(5n)⁴+1(5n)⁵
= 1(243m⁵)+5(81m⁴)(5n)+10(27m³)(25n²)+10(9m²)(125n³)+5(3m)(625n⁴) + 1(3125n⁵)
= 243m⁵ + 2025m⁴n + 6.750m³n² +11.250m²n³+9.375mn⁴ + 3.125 n⁵