\(x^4+x^3-4x^2+x+1\)
\(=x^4+3x^3+x^2-2x^3-6x^2-2x+x^2+3x+1\)
\(=x^2\left(x^2+3x+1\right)-2x\left(x^2+3x+1\right)+\left(x^2+3x+1\right)\)
\(=\left(x^2-2x+1\right)\left(x^2+3x+1\right)\)
\(=\left(x-1\right)^2\left(x^2+3x+1\right)\)
\(x^4+x^3-4x^2+x+1\)
\(=x^4+3x^3+x^2-2x^3-6x^2-2x+x^2+3x+1\)
\(=x^2\left(x^2+3x+1\right)-2x\left(x^2+3x+1\right)+\left(x^2+3x+1\right)\)
\(=\left(x^2-2x+1\right)\left(x^2+3x+1\right)\)
\(=\left(x-1\right)^2\left(x^2+3x+1\right)\)
cau 1 :phan tich da thuc thanh nhan tu a)5x3y-10x2y2+5xy3 b)x3 2y-1-125 2y-1 c)x2-6x-4y2+9 d)x2-xy+2y-2x e)4x2-4y2+4x+1 minh can gap
pt da thuc thanh nhan tu:(x-3y)2-2(x-3y)(x+3y)+(x+3y)2
phan tich da thuc sau thanh nhan tu: x5+x+1
phan tich da thuc sau thanh nhan tu (x-1)(x-3)(x-5)(x-7)-20
Phan tich da thuc sau thanh nhan tu
6x^3+x^2+x+1
phan tich da thuc sau thanh nhan tu
6x^3+x^2+x+1
2.phan tich da thuc sau thanh nhan tu: (x4+x+1)4+1
phan tich cat da thuc sau thanh nhan tu
a) x^4 + 1 - 2x^2
1) phan tich da thuc sau thanh nhan tu ;
a)\(x^2+x+1\)