Penjelasan dengan langkah-langkah:
1. (x - 3y)⁵
= 5C0 x⁰ (-3y)⁵ + 5C1 x¹ (-3y)⁴ + 5C2 x² (-3y)³ + 5C3 x³ (-3y)² + 5C4 x⁴ (-3y)¹ + 5C5 x⁵ (-3y)⁰
= - 243y⁵ + 5 . x . 81y⁴ + 10 . x² . (-27y³) + 10 . x³ . 9y² + 5 . x⁴ . (-3y) + x⁵
= - 243y⁵ + 405xy⁴ - 270x²y³ + 90x³y² - 15x⁴y + x⁵
2. (2a + 3b)⁴
a² ➡️ 4C2 (2a)² (3b)² = 6 . 4a² . 9b² = 216a²b²
Koef a² = 216
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Penjelasan dengan langkah-langkah:
1. (x - 3y)⁵
= 5C0 x⁰ (-3y)⁵ + 5C1 x¹ (-3y)⁴ + 5C2 x² (-3y)³ + 5C3 x³ (-3y)² + 5C4 x⁴ (-3y)¹ + 5C5 x⁵ (-3y)⁰
= - 243y⁵ + 5 . x . 81y⁴ + 10 . x² . (-27y³) + 10 . x³ . 9y² + 5 . x⁴ . (-3y) + x⁵
= - 243y⁵ + 405xy⁴ - 270x²y³ + 90x³y² - 15x⁴y + x⁵
2. (2a + 3b)⁴
a² ➡️ 4C2 (2a)² (3b)² = 6 . 4a² . 9b² = 216a²b²
Koef a² = 216