# Square of a generic sum of elements

The formula for computing the square of a generic sum of terms is as follows:

$$ |

We can prove this property by induction, considering that it holds for K=2, since

$${(a+b)}^{2}={a}^{2}+{b}^{2}+2ab$$ |

and that if the property holds for a generic K, then it holds also for K+1, as is proven in the following passages:

$$ | (1) |

Title | Square of a generic sum of elements |
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Canonical name | SquareOfAGenericSumOfElements |

Date of creation | 2013-03-22 19:34:48 |

Last modified on | 2013-03-22 19:34:48 |

Owner | mat (27197) |

Last modified by | mat (27197) |

Numerical id | 8 |

Author | mat (27197) |

Entry type | Definition |

Classification | msc 15-01 |