早教吧作业答案频道 -->数学-->
(x+1)^4+(x^2-1)^2+(x-1)^4分解因式项
题目详情
(x+1)^4+(x^2-1)^2+(x-1)^4 分解因式 项
▼优质解答
答案和解析
(x+1)^4+(x^2-1)^2+(x-1)^4
=(x+1)^4+2(x^2-1)^2+(x-1)^4-(x^2-1)^2
=(x+1)^4+2(x+1)^2(x-1)^2+(x-1)^4-(x^2-1)^2
=[(x+1)^2+(x-1)^2]^2-(x^2-1)^2
=[(x+1)^2+(x-1)^2+(x^2-1)][(x+1)^2+(x-1)^2-(x^2-1)]
=(3x^2+1)(x^2+3)
=(x+1)^4+2(x^2-1)^2+(x-1)^4-(x^2-1)^2
=(x+1)^4+2(x+1)^2(x-1)^2+(x-1)^4-(x^2-1)^2
=[(x+1)^2+(x-1)^2]^2-(x^2-1)^2
=[(x+1)^2+(x-1)^2+(x^2-1)][(x+1)^2+(x-1)^2-(x^2-1)]
=(3x^2+1)(x^2+3)
看了 (x+1)^4+(x^2-1...的网友还看了以下：
定义一种运算,如x=(1,3,-2,0)y=(-2,-3,4,1),z=(2,-1,6,4),x+y 2020-03-30 …
解分式方程（1）2/x+2=4/x²-4（2）x+1/（x-1）-4/x²-1=1（3）7/（x² 2020-05-01 …
(1)x^3根号下(4-x^2)(2)根号下[(x^2-9)/x^2](1)-4/3(4-x^2) 2020-05-20 …
已知X^2+Y^2=1,下列结论中正确的是1.曲线X^4+Y^2=1关于X轴对称2.曲线X^4+Y 2020-07-15 …
2x+4×（11-x)=3650x+100×(60-x)=50002x+4×(x-18)=1202 2020-07-16 …
一些因式分解1]（x-2y)^2-3*(x-2y）-102]x^2-2xy+4x-4y+43](x 2020-07-18 …
已知sin(x-π/4）=1/3,则cos（π/4+x）=?这一步是怎么得来的cos[π/2-(π 2020-07-26 …
(1)(2)(3)(4)(5)要步骤...(1)x^4-3x²-28=0(2)x^4-5x²-14 2020-07-26 …
极限limx->0[(sinx)^2-xsinxcosx]/x^4,我用等价无穷小量算是(x^2-x 2020-11-01 …
一些因式分解的题~(1)(x^2+y^2)^2-(z^2-x^2)^2-(y^2+z^2)^2(2) 2020-11-01 …