作业帮(1).(2x^2)^3-6x^3(x^3+2x^2+x)
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/15 10:23:00
(1).(2x^2)^3-6x^3(x^3+2x^2+x)
(2).(x+y+z)(x+y-z)
(3).[(x+y)^2-(x-y)^2]÷(2xy)
(4).a^2(a+1)^2-2(a^2-2a+4)
(2).(x+y+z)(x+y-z)
(3).[(x+y)^2-(x-y)^2]÷(2xy)
(4).a^2(a+1)^2-2(a^2-2a+4)
(1).(2x^2)^3-6x^3(x^3+2x^2+x)
=8x^6-6x^6-12x^5-6x^4
=2x^6-12x^5-6x^4
(2).(x+y+z)(x+y-z)
=[(x+y)+z][(x+y)-z]
=(x+y)^2-z^2
=x^2+2xy+y^2-z^2
(3).[(x+y)^2-(x-y)^2]÷(2xy)
=(x+y+x-y)(x+y-x+y)÷(2xy)
=2x*2y÷(2xy)
=4xy÷(2xy)
=2
(4).a^2(a+1)^2-2(a^2-2a+4)
=a^2(a^2+2a+1)-2(a^2-2a+4)
=a^4+2a^3+a^2-2a^2+4a-8
=a^4+2a^3-a^2+4a-8
=8x^6-6x^6-12x^5-6x^4
=2x^6-12x^5-6x^4
(2).(x+y+z)(x+y-z)
=[(x+y)+z][(x+y)-z]
=(x+y)^2-z^2
=x^2+2xy+y^2-z^2
(3).[(x+y)^2-(x-y)^2]÷(2xy)
=(x+y+x-y)(x+y-x+y)÷(2xy)
=2x*2y÷(2xy)
=4xy÷(2xy)
=2
(4).a^2(a+1)^2-2(a^2-2a+4)
=a^2(a^2+2a+1)-2(a^2-2a+4)
=a^4+2a^3+a^2-2a^2+4a-8
=a^4+2a^3-a^2+4a-8
|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10|
x-1)(X-2)(x-3)...(x-50)+x(x-2)(X-3)...(X-50)+...+x(x-1)(x-2)
解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6)
x+2/x^2-x-6 + 2x/x^3-3x - x+1/x^2-6x+9
(x+2/x^2-x-6)-(2x/x^2-3x)-(x+1/x^2-6x+9)
x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4
x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x
约分 (X的平方+4x+3)(2x-x)^/(X^+X)(X^+X-6),
已知 X=4- 根号3 求 (X*X*X*X-6X*X*X-2X*X+18X+23) / (X*X-8X+15)的值
(x+1-1/1-x)÷(x-x²/x-1) (x-4/x-x-6+ x+2/x-3)÷x+1/x-3
x/x-3-5x/x^2-x-6计算
1+x+x^2+x^3+.+x^99+x^100