计算(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 23:51:44
计算(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
计算(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
计算(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
=-(1-1/2)(1-1/3)(1-1/4)*.*(1-1/48)(1-1/49)(1-1/50
=-1/2*2/3*3/4*4/5*...*47/48*48/49*49/50
=-1/50
1/2-1=1/2
1/3-1=2/3
1/4-1=3/4
...
1/49-1=48/49
1/50-1=49/50
因此原式即为
1/2 × 2/3 × 3/4 ....× 48/49 × 49/50
分子分母互相约去
最后得到
1/50
(1/2-1)x(1/3-1)x(1/4-1)...(1/48-1)x(1/49-1)x(1/50-1)
=(-1/2)x(-2/3)x(-3/4)...(-48/49)x(-49/50)
一共49个负号,所以相乘是负数
且前一个的分母和后一个的分子约分
=-1/50
计算(x+1)(x+2)(x+3)(x+4)
计算:(x+1)(x-2)(x-3)(x-6)
计算 x(x+3)-(x-1)(x-2)
如何计算 (x+1)(x+2)(x+3)(x+4)
计算(X-1)(X-2)(X-3)(X-4)
(x-1)(x-2)(x-3)(x-4)-24计算
计算:x/(1-x)-1/(x-3)
计算:x/(x-1)-(x+3)/(x^-1)*(x^2+2x+1)/(x+3)
计算:|3-x|+|x-1|(x>5)
计算:[(x^2 - 4)/(x^2 - x - 6) + (x+2)/(x-3)] / (x+1)/(x-3)
计算:1-2x+x^2/x-x^3*xy+x^2y/x-x^2
计算:x(x^2+x-1)-(x^2-x+1)
计算3/x-2+2/1-x
(x-1)(2x-3)计算过程
计算(-2x+1)(-3x+5)
计算:(3x+1)(x+2)
(x-6)(x的平方+x+1)-x(2x+1)(3x-1)计算
2x/x-1+1/x+3-3x+5/x^2+2x-3计算,