1.x^4-2x^3-8x+162.144(x2-1)x^2-100x^23.(x^2+6x+6)^2+x^2+6x+4

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 04:16:23

1.x^4-2x^3-8x+162.144(x2-1)x^2-100x^23.(x^2+6x+6)^2+x^2+6x+4
1.x^4-2x^3-8x+16
2.144(x2-1)x^2-100x^2
3.(x^2+6x+6)^2+x^2+6x+4

1.x^4-2x^3-8x+162.144(x2-1)x^2-100x^23.(x^2+6x+6)^2+x^2+6x+4
1.x^4-2x^3-8x+16
=x³(x-2)-8(x-2)
=(x-2)(x³-8)
=(x-2)²(x²+2x+4)
2.144(x2-1)x^2-100x^2
=x²(144x²-144-100)
=x²(12x+2√61)(12x-2√61)
3.(x^2+6x+6)^2+x^2+6x+4
=[(x^2+6x+4)+2]^2+(x^2+6x+4)
=((x^2+6x+4)²+4((x^2+6x+4)+4+(x^2+6x+4)
=((x^2+6x+4)²+5(x^2+6x+4)+4
=(x^2+6x+4+1)(x^2+6x+4+4)
=(x+1)(x+5)(x+2)(x+4)

1.(x-2)^2(x^2+2x+4);
2.x^2(144x^2-244)
3.(x+2)(x+4)(x+1)(x+5)

能用正规符号吗、、、这~~~我看不懂

3、（x^2+6x+6）^2 + (x^2+6x+6)-2
= {(x^2+6x+6)+2}{(x^2+6x+6)-1}
= (x^2+6x+8)(x^2+6x+5)
= (x+2)(x+4)(x+1)(x+5)

1、x^4-2x^3-8x+16=x^3(x-2)-8(x-2)=(x-2)(x^3-8)=(x-2)²（x²+2x+4）
2.144(x2-1)x^2-100x^2=题目看不懂
3.(x^2+6x+6)^2+x^2+6x+4=(x^2+6x+6)^2+（x^2+6x+6）-2=(x^2+6x+6+2)(x^2+6x+6-1)
=(x+2)(X+4)(x+5)(X+1)

1.x^4-2x^3-8x+16=x^3(x-2)-8(x-2)=(x-2)(x^3-8)=(x-2)^2(x^2+2x+4)
2.144(x2-1)x^2-100x^2看不懂
3.(x^2+6x+6)^2+x^2+6x+4=[(x^2+6x+4)+2]^2+(x^2+6x+4)=(x^2+6x+4)^2+5(x^2+6x+4)+4
=[(x^2+6x+4)+1][(x^2+6x+4)+4]
=(x^2+6x+5)(x^2+6x+8)
=(x+1)(x+2)(x+4)(x+5)

不知道

1.
x^4-2x^3-8x+16
=x³（x-2)-(8x-16)
=x³（x-2)-8(x-2)
=(x³-8)(x-2)
2.
原式=144（x²-1）*x²-100*x²
=x²（144x²-144-100)
=x²(144x²-244)
=4x²(36x²-61)

1
= x^3(x-2)-8.(x-2)
= (x-2)(x^3-8)

1题=x^3(x-2)-8（x-2)=(x-2)(x^3-8)到这里还可以再变但是我觉得没有必要了，要的话在追问吧
2题=x^2(144x^2-244) 这一题你的题目应该写错了吧
3题=（x^2+6x+6)^2+(x^2+6x+6)-2=(x^2+6x+6-1)(x^2+6x+6+2)
=(x^2+6x+5)(x^2+6x+8)=(x+1)(x+5)(x+2)(x+4)

1:(x+2)(x-2)(x^2-2x+4)

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