1.若2X+|4-5X|+|1-3X|+4的值恒为常数,求x该满足的条件及此常数的值.2.分解因式(x+1)(x+2)(x+3)(x+6)+x的平方

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1.若2X+|4-5X|+|1-3X|+4的值恒为常数,求x该满足的条件及此常数的值.2.分解因式(x+1)(x+2)(x+3)(x+6)+x的平方

1.若2X+|4-5X|+|1-3X|+4的值恒为常数,求x该满足的条件及此常数的值.2.分解因式(x+1)(x+2)(x+3)(x+6)+x的平方
1.若2X+|4-5X|+|1-3X|+4的值恒为常数,求x该满足的条件及此常数的值.
2.分解因式(x+1)(x+2)(x+3)(x+6)+x的平方

1.若2X+|4-5X|+|1-3X|+4的值恒为常数,求x该满足的条件及此常数的值.2.分解因式(x+1)(x+2)(x+3)(x+6)+x的平方
1.若2X+|4-5X|+|1-3X|+4的值恒为常数,
(1)当|4-5X|=0,即X=4/5时,该常数为7
(2)当|1-3X|=0,即X=1/3时,该常数为为7
(3)当2X=0,即X=0时,该常数为7
所以,X=4/5,1/3或0,该常数为7
2.(x+1)(x+2)(x+3)(x+6)+x²
=(X+1)(X+6)(X+2)(X+3)+X²
=(X²+6+7x)(X²+6+5X)+X²
=(X²+6)²+12X(X²+6)+35X²+X²
=X四次方+12X³+48X²+75X+36

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