因式分解(y-1)^2+6(1-y^2)+9(y+1)^2

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因式分解(y-1)^2+6(1-y^2)+9(y+1)^2因式分解(y-1)^2+6(1-y^2)+9(y+1)^2因式分解(y-1)^2+6(1-y^2)+9(y+1)^2原式=(y-1)²

因式分解(y-1)^2+6(1-y^2)+9(y+1)^2
因式分解(y-1)^2+6(1-y^2)+9(y+1)^2

因式分解(y-1)^2+6(1-y^2)+9(y+1)^2
原式=(y-1)²-6(y+1)(y-1)+9(y+1)²
==[(y-1)-3(y+1)]²
=(-2y-4)²
=4(y+2)²

原式=(y-1)²-6(y+1)(y-1)+9(y+1)²==[(y-1)-3(y+1)]²=(-2y-4)²=4(y+2)²

(y-1)^2+6(1-y^2)+9(y+1)^2
=(1-y)^2+6(1+y)(1-y)+9(y+1)^2
=[(1-y)+3(y+1)]^2
=(1-y+3y+3)^2
=(2y+4)^2
=4(y+2)^2