因式分解:(1)49(x+y)²-9(x-y)² (2)(x²-5)²+8(x&

问题描述:

因式分解:(1)49(x+y)²-9(x-y)² (2)(x²-5)²+8(x²-5)+16
1个回答 分类:数学 2014-10-31

问题解答:

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49(x+y)²-9(x-y)²
=(7x+7y+3x-3y)(7x+7y-3x+3y)
=(10x+4y)(4x+10y)
=4(5x+2y)(2x+5y)
(x²-5)²+8(x²-5)+16
=(x²-5+4)²
=(x²-1)²
=(x-1)²(x+1)²
 
 
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