将a²+(a+1)²+(a²+a)²分解因式,并利用其结果计算7²+8²+56²
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![将a²+(a+1)²+(a²+a)²分解因式,并利用其结果计算7²+8²+56²](/uploads/image/z/51752-56-2.jpg?t=%E5%B0%86a%26%23178%3B%2B%28a%2B1%29%26%23178%3B%2B%EF%BC%88a%26%23178%3B%2Ba%EF%BC%89%26%23178%3B%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%2C%E5%B9%B6%E5%88%A9%E7%94%A8%E5%85%B6%E7%BB%93%E6%9E%9C%E8%AE%A1%E7%AE%977%26%23178%3B%2B8%26%23178%3B%2B56%26%23178%3B)
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将a²+(a+1)²+(a²+a)²分解因式,并利用其结果计算7²+8²+56²
将a²+(a+1)²+(a²+a)²分解因式,并利用其结果计算7²+8²+56²
将a²+(a+1)²+(a²+a)²分解因式,并利用其结果计算7²+8²+56²
a²+(a+1)²+(a²+a)²
=a²+a²+2a+1+(a²+a)²
=(a²+a)²+2a²+2a+1
=(a²+a)²+2(a²+a)+1
=(a²+a+1)²
7²+8²+56²
=7²+(7+1)²+(7²+7)²
=(7²+7+1)²
=(49+8)²
=(50+7)²
=50²+2×50×7+7²
=2500+700+49
=3249
7²+8²+56²=7²+(7+1)²+(7X8)²=7²+(7+1)²+[7X(7+1)]²=(7²+8)²=57²=3249
原式=a²+a²+2a+1+a²(a+1)²
=a²(a+1)²+2a²+2a+1
=【a(a+1)】²+2(a²+a)+1
=(a²+a+1)²
所以7²+8...
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原式=a²+a²+2a+1+a²(a+1)²
=a²(a+1)²+2a²+2a+1
=【a(a+1)】²+2(a²+a)+1
=(a²+a+1)²
所以7²+8²+56²=3249
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