贪婪洞窟嗜血:一道计算题 急用

来源:百度文库 编辑:高校问答 时间:2024/05/08 06:35:17
化简或求值:已知x=5/34.求下面代数式的值。
x(x^2-3x+5)-(-x-1)(x+1)+(x+1)(x^2-x-1)-2x(x-1/2)^2 (要步骤)

x(x^2-3x+5)-(-x-1)(x+1)+(x+1)(x^2-x-1)-2x(x-1/2)^2
=x^3-2x^2+5x+x^2+2x+1+x^3+x^2-x^2-x-x-1-2x^3+2x^2-x/2
=x^2-9/2x
=(5/34)^2-9/2*5/34
=-740/1156
=-185/289

逐项展开
x^3-3x^2+5x+x^2+2x+1+x^3-x^2-x+x^2-x-1-2x^3+2x^2-1/2x
=(5-1/2)x
=9/2*x=45/68