化简 (2x+1)(x-1)(x+2) 和 因式分解(2x-5)(x-3)+(3x-1)(5-2x)

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化简(2x+1)(x-1)(x+2)和因式分解(2x-5)(x-3)+(3x-1)(5-2x)化简(2x+1)(x-1)(x+2)和因式分解(2x-5)(x-3)+(3x-1)(5-2x)化简(2x+

化简 (2x+1)(x-1)(x+2) 和 因式分解(2x-5)(x-3)+(3x-1)(5-2x)
化简 (2x+1)(x-1)(x+2) 和 因式分解(2x-5)(x-3)+(3x-1)(5-2x)

化简 (2x+1)(x-1)(x+2) 和 因式分解(2x-5)(x-3)+(3x-1)(5-2x)
(2x+1)(x-1)(x+2)
=(2x^2-x-1)(x+2)
=2x^3+4x^2-x^2-2x-x-2
=2x^3+3x^2-3x_2

(2x-5)(x-3)+(3x-1)(5-2x)
=(2x-5)(x-3)-(3x-1)(2x-5) (先化符号,有公因式提取)
=(2x-5)(x-3-3x+1)
=(2x-5)(-2x-2) (括号内首项不能为负,所以负号放在因式的最前面)
= -2(x+1)(2x-5)

=(2x+1)(x²+x-2) =2x³+2x²-4x+x²+x-2 =2x³+3x²-3x-2;
第二题
=-2(2x-5)(x+1)