(2009²-2008²)+(2007²-2006²)+(2005²-2004²)+·····+1²整式的化简,求用简便方法解
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![(2009²-2008²)+(2007²-2006²)+(2005²-2004²)+·····+1²整式的化简,求用简便方法解](/uploads/image/z/89198-62-8.jpg?t=%282009%26%23178%3B-2008%26%23178%3B%29%2B%282007%26%23178%3B-2006%26%23178%3B%29%2B%EF%BC%882005%26%23178%3B-2004%26%23178%3B%EF%BC%89%2B%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%2B1%26%23178%3B%E6%95%B4%E5%BC%8F%E7%9A%84%E5%8C%96%E7%AE%80%2C%E6%B1%82%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%A7%A3)
(2009²-2008²)+(2007²-2006²)+(2005²-2004²)+·····+1²整式的化简,求用简便方法解
(2009²-2008²)+(2007²-2006²)+(2005²-2004²)+·····+1²
整式的化简,求用简便方法解
(2009²-2008²)+(2007²-2006²)+(2005²-2004²)+·····+1²整式的化简,求用简便方法解
平方差
=(2009+2008)(2009-2008)+……+(2+1)(2-1)
=2009+2008……+2+1
=2010×2009÷2
=2019045