(X+1)(X+2)(X+3)(X+4)简便方法

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(X+1)(X+2)(X+3)(X+4)简便方法
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(X+1)(X+2)(X+3)(X+4)简便方法
(X+1)(X+2)(X+3)(X+4)简便方法

(X+1)(X+2)(X+3)(X+4)简便方法
=[(X+1)(X+4)]*[(X+2)(X+3)]=(X^2+5X+4)(X^2+5X+6)=(X^2+5X)^2+10*(X^2+5X)+24
更炫的 = (X^2+5X+4)(X^2+5X+6) =(X^2+5X+5 - 1)(X^2+5X+5 + 1)=(X^2+5X+5)^2 - 1
全部展开 = x^4 + 10x^3+ 35x^2 + 50x + 24

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