Question

Bài 1: Phân tích đa thức thành nhân tử:

a)       \(x^4-x^3-x^2+1\)

b)       \(x^2y+xy^2-x-y\)

c)       \(ax^2+a^2y-7x-7y\)

d)       \(x^4+x^2+1\)

Answer 1

b)\(x^2y+xy^2-x-y\)

\(=xy\left(x+y\right)-\left(x+y\right)\)

\(=\left(xy-1\right)\left(x+y\right)\)

Answer 2

a)\(x^4-x^3-x^2+1\)

\(=x^3\left(x-1\right)-\left(x^2-1\right)\)

\(=x^3\left(x-1\right)-\left(x-1\right)\left(x+1\right)\)

\(=\left(x-1\right)\left(x^3-x-1\right)\)

Answer 3

d) x⁴ + x² + 1

= ( x⁴ + 2x² + 1) - x²

= ( x² + 1)² - x²

= ( x² + 1 + x² ).( x² + 1 - x² )