因式分解 1.m2+n2-2mn+2n-2m+1 2.(x+1)(x+2)(x+3)(x+4)+1

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因式分解 1.m2+n2-2mn+2n-2m+1 2.(x+1)(x+2)(x+3)(x+4)+1
因式分解 1.m2+n2-2mn+2n-2m+1 2.(x+1)(x+2)(x+3)(x+4)+1

因式分解 1.m2+n2-2mn+2n-2m+1 2.(x+1)(x+2)(x+3)(x+4)+1
1.m2+n2-2mn+2n-2m+1
=(m-n)²-2(m-n)+1
=(m-n-1)²
2.(x+1)(x+2)(x+3)(x+4)+1
=(x+1)(x+4)(x+2)(x+3)+1
=(x²+5x+4)(x²+5x+6)+1
=(x²+5x)²+10(x²+5x)+24+1
=(x²+5x)²+10(x²+5x)+25
=(x²+5x+5)²