Question

4x^3-4x^2y-(x-y)因式分解

2.a^3+1/81(b^3) 3. x(x+4)+4

Answer 1

4x^3-4x^2y-(x-y)
=4x²(x-y)-(x-y)
=(x-y)（4x²-1）
=(x-y)(2x+1)(2x-1)

追问

a^3+1/81(b^3) x(x+4)+4 x的绝对值=(x-1)^0，x=?

追答

a^3+1/81(b^3)
=(a+1/2b)(a²-1/2ab+1/4b²)

x(x+4)+4
=x²＋4x＋4
=(x+2)²

追问

x的绝对值=(x-1)^0，x=?，谢谢这是最后一题，好的追加分！！！

追答

|x|=1
x=1或-1
但底数x-1≠0，即x≠1
所以
x=-1

追问

这是a^3+1/81(b^3)，是1/81!!!

追答

a^3+1/81(b^3)
=(a+1/81^(1/3)b)(a²-1/81^(1/3)ab+1/81^(2/3)b²)

Answer 2

4x^3-4x^2y-(x-y)
=4x^2(x-y)-(x-y)
=(x-y)(4x^2-1)
=(x-y)(2x-1)(2x+1)

追问

a^3+1/81(b^3) x(x+4)+4 x的绝对值=(x-1)^0，x=?