Question

Bài 1 : Phân tích đa thức thành nhân tử:

a)  ( ab - 1 )² + ( a + b )²

b)   x³ + 2x² + 2x + 1

c)   x³ - 4x² + 12x - 27

d)   x⁴ - 2x³ + 2x - 1

e)   x¹ + 2x³ + 2x² + 2x + 1

Answer 1

b, \(x^3+2x^2+2x+1=\left(x^2+x+1\right)\left(x+1\right)\)

c, \(x^3-4x^2+12x-27=\left(x^2-x+9\right)\left(x-3\right)\)

d, \(x^4-2x^3+2x-1=\left(x-1\right)^3\left(x+1\right)\)

e, sai đề 

Answer 2

a, \(\left(ab-1\right)^2+\left(a+b\right)^2=\left(a^2+1\right)\left(b^2+1\right)\)

b, \(x^3+2x^2+2x+1=\left(x+1\right)\left(x^2+x+1\right)\)

c, \(x^3-4x^2+12x-27=\left(x-3\right)\left(x^2-x+9\right)\)

d, \(x^4-2x^3+2x-1=\left(x-1\right)^3\left(x+1\right)\)

e, cho mình sửa đề xíu

\(x^4+2x^3+2x^2+2x+1=\left(x+1\right)^2\left(x^2+1\right)\)