+6x³+11x+6(1+y)²-2x²(1+y²)+x4(1-y)²

问题描述:

+6x³+11x+6(1+y)²-2x²(1+y²)+x4(1-y)²
x4-2(a²+b²)x²+(a²-b²)²
x³(a+1)-xy(x-y)(a-b)+y³(b+1)
x4+4y4
x4+64
x³+2x²-6-5x
x³+6x-7
x³-9x+8
x³+6x³+11x+6

第一题没打全,你补充一下吧,剩下的题都很简单,我做一下再给你
x4-2﹙a²+b²)x²+(a²-b²)²
=x4-2﹙a²+b²)x²+(a²+b²)²-4a²b²
=[x²-(a²+b²)]²-4a²b²
=[x²-(a²+b²)+2ab][x²-(a²+b²)-2ab]
=[x²-(a²-2ab+b²)][x²-(a²+2ab+b²)]
=(x+a-b)(x-a+b)(x-a-b)(x+a+b)第一题 没有前面的 直接从(1+y)²-2x²(1+y²)+x4(1-y)²速度哦 感谢x4+4y4=x4+4y²+4y4-4y²=(x²+2y²)²-4y²=(x²+2y+2y²)(x²-2y+2y²)x4+64=x4+16x²+8²-16x²=(x²+8)²-16x²=(x²+4x+8)(x²-4x+8)纯手打,很慢,见谅- =那么继续x³+2x³-6-5x=x³+2x²+x-6x-6=x(x+1)²-6(x+1)=(x+1)(x-2)(x+3)x³+6x-7=x³-x+7x-7=x(x+1)(x-1)+7(x-1)=(x-1)(x²+x+7)x³-9x+8=x³-x-8x+8=x(x+1)(x-1)-8(x-1)=(x-1)(x²+x-8)x³+6x²+11x+6=(x³+3x²)+(3x²+11x+6)=x²(x+3)+(x+3)(3x+2)=(x+1)(x+2)(x+3)