(x+1)(x-3)(x+5)(x+7)+16 因式分解是这个+16 不是+15

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(x+1)(x-3)(x+5)(x+7)+16因式分解是这个+16不是+15(x+1)(x-3)(x+5)(x+7)+16因式分解是这个+16不是+15(x+1)(x-3)(x+5)(x+7)+16因

(x+1)(x-3)(x+5)(x+7)+16 因式分解是这个+16 不是+15
(x+1)(x-3)(x+5)(x+7)+16 因式分解
是这个+16 不是+15

(x+1)(x-3)(x+5)(x+7)+16 因式分解是这个+16 不是+15
题目是否有错?
(x+1)(x+3)(x+5)(x+7)+16=(x+1)(x+7)(x+3)(x+5)+16
=(x^2+8x+7)(x^2+8x+15)+16
=(x^2+8x)^2+22*(x^2+8x)+105+16
=(x^2+8x)^2+22*(x^2+8x)+11^2
=(x^2+8x+11)^2

=(x^2-2x-3)(x^2+12x+35)+16
=x^4+12x^3+35x^2-2x^3-24x^2-70x-3x^2-36x-105+16
=x^4+10x^3+8x^2-106x-89

(x+1)(x-3)(x+5)(x+7)+16=(x^2-2x-3)(x^2+12x+35)+6=x^4-2x^3-3x^2+12x^3-24x^2-36x+35x^2-70x-105+6=x^4+10x^3+8x^2-106x-99=

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