因式分解(x-y)²+6(x-y)+9

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因式分解(x-y)²+6(x-y)+9
因式分解(x-y)²+6(x-y)+9

因式分解(x-y)²+6(x-y)+9
(x-y)²+6(x-y)+9
=(x-y)²+2(x-y)×3+3²
=[(x-y)+3]²
=(x-y+3)²

原式=(x-y+3)^2

((X-Y)+3)²=0

(x-y)²+6(x-y)+9
=(x-y+3)²
可把(x-y)看成一整体A
A²+6A+9
=(A+3)²
然后A=x-y代入
就可得到(x-y+3)²