已知X2-2X=2, 求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值已知X2-2X=2,求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值

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已知X2-2X=2, 求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值已知X2-2X=2,求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值

已知X2-2X=2, 求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值已知X2-2X=2,求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值
已知X2-2X=2, 求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值
已知X2-2X=2,
求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值

已知X2-2X=2, 求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值已知X2-2X=2,求(X-1)2+(X+3)(X-3)+(X-3)(X-1)的值
(X-1)2+(X+3)(X-3)+(X-3)(X-1)
=(X-1)2+(X+3+X-1)(X-3)
=(X-1)^2+2(X+1)(X-3)
=X^2-2X+1+2(X^2-2X-3)
=2+1+2(2-3)
=1

(X-1)(X-1)+(X+3)(X-3)+(X-3)(X-1)
=XX-2X+1+XX-9+XX-4X+3
=3XX-6X-5
=3(XX-2X)-5
=3*2-5
=1

(X-1)2+(X+3)(X-3)+(X-3)(X-1)
=(X-1)2+(X+3+X-1)(X-3)
=(X-1)^2+2(X+1)(X-3)
=X^2-2X+1+2(X^2-2X-3)
=2+1+2(2-3)
=1
就这样