将下列多项式因式分解(1)(x+y)²+4(x+y)+4.
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将下列多项式因式分解(1)(x+y)²+4(x+y)+4.
将下列多项式因式分解(1)(x+y)²+4(x+y)+4.
将下列多项式因式分解(1)(x+y)²+4(x+y)+4.
(1)
(x+y)^2+4(x+y)+4=(x+y+2)^2
(2)
12a^3-12a^2+3ab^2=3a(4a^2-4a+b^2)
(3)
-x^2+6x-9=-(x^2-6x+9)=-(x-3)^2
(4)
-4mx^2+8mx-4m=-4m(x^2-2x+1)=-4m(x-1)^2
(5)
(a+b)^2-4ab=a^2+2ab+b^2-4ab=a^2-2ab+b^2=(a-b)^2