分解因式(初二)(1)x²-4x(2)25x²+10x+1(3)3-9x²(4)1/4[(x-y)²-(x+y)²](3)改成4-9x²

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分解因式(初二)(1)x²-4x(2)25x²+10x+1(3)3-9x²(4)1/4[(x-y)²-(x+y)²](3)改成4-9x²
分解因式(初二)
(1)x²-4x
(2)25x²+10x+1
(3)3-9x²
(4)1/4[(x-y)²-(x+y)²]
(3)改成4-9x²

分解因式(初二)(1)x²-4x(2)25x²+10x+1(3)3-9x²(4)1/4[(x-y)²-(x+y)²](3)改成4-9x²
(1)x²-4x
=x(x-4)
(2)25x²+10x+1
=(5x+1)²
(3)3-9x²
=-3(3x²-1)
(4)1/4[(x-y)²-(x+y)²]
=1/4(x-y+x+y)(x-y-x-y)
=1/4(2x)(-2y)
=-xy

﹙1﹚ x²-4x=x﹙x-4﹚
(2)25x²+10x+1=5x+1﹚²
﹙ 3)4-9x²=﹙2-3x﹚﹙2+3x﹚
(4)1/4[(x-y)²-(x+y)²]=1/4﹙x-y-x-y﹚﹙x-y+x+y﹚=﹣xy.