因式分解:(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3
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因式分解:(x-1)(x-2)x(x+1)+1 (x^2+2x)(x^2+2x-2)-3
因式分解:(x-1)(x-2)x(x+1)+1
(x^2+2x)(x^2+2x-2)-3
全都要写过程
因式分解:(x-1)(x-2)x(x+1)+1
(x^2+2x)(x^2+2x-2)-3
全都要写过程
(x-1)(x-2)x(x+1)+1
=(x-2)(x+1)x(x-1)+1
=(x²-x-2)(x²-x)+1
=(x²-x)²-2(x²-x)+1
=(x²-x-1)²
(x^2+2x)(x^2+2x-2)-3
=(x²+2x)²-2(x²+2x)-3
=(x²+2x-3)(x²+2x+1)
=(x+3)(x-1)(x+1)²
=(x-2)(x+1)x(x-1)+1
=(x²-x-2)(x²-x)+1
=(x²-x)²-2(x²-x)+1
=(x²-x-1)²
(x^2+2x)(x^2+2x-2)-3
=(x²+2x)²-2(x²+2x)-3
=(x²+2x-3)(x²+2x+1)
=(x+3)(x-1)(x+1)²
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