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# Binomial Theorem 1

### Using Pascal's Triangle

Question | Answer |
---|---|

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (a+b)³ | a³ + 3a²b +3ab² + b³ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x-y)² | x² - 2xy + y² |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (a-b)⁶ | a⁶ - 6a⁵b + 15a⁴b² - 20a³b³ + 15a²b⁴ - 6ab⁵ + b⁶ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (d+e)⁹ | d⁹ - 9d⁸e + 36d⁷e² - 84d⁶e³ +126d⁵e⁴ - 126d⁴e⁵ + 84d³e⁶ - 36d²e⁷ + 9de⁸- e⁹ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (a+3b)⁴ | a⁴ + 12a³b + 18a²b² + 12ab³ + b⁴ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x-y)⁷ | x⁷ - 7x⁶y + 21x⁵y² - 35x⁴y³ + 35x³y⁴ - 21x²y⁵ + 7xy⁶ - y⁷ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x-3)³ | x³ + 9x² + 9x + 27 |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x+y) ⁸ | x⁸ + x⁷y + x⁶y² + x⁵y³ + x⁴y⁴ + x³y⁵ + x²y⁶ + xy⁷ + x⁸ |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x-4)⁸ | x⁸ + 32x⁷ + 448x⁶ +3,584x⁵ +17,920x⁴ +57,344x³ +114,688x² + 131,072x +65,536 |

Use Pascal's Triangle to expand each binomial, refer to example 1 for additional help. (x-y)⁵ | x⁵ - x⁴y + x³y² - x²y³ + xy⁴ - y⁵ |

Created by:
hclaire