Question

Phân tích đa thức thành nhân tử

5x^4 - x ³

8x ²y - 4y ³

1/2 xy ² (x - y) + y (y - x)

Answer 1

\(5x^4-x^3=x^3\left(5x-1\right)\)

\(8x^2y-4y^3=4y\left(2x^2-y^2\right)=4y\left[\left(\sqrt{2}x-y\right)\left(\sqrt{2}x+y\right)\right]\)

\(\dfrac{1}{2}xy^2\left(x-y\right)+y\left(y-x\right)\\=\dfrac{1}{2}y\left(x-y\right)\left[xy-\dfrac{1}{2}\right]\)

Answer 2

a: \(=x^3\left(5x-1\right)\)

b: \(=4y\left(2x^2-y^2\right)\)

c: \(=y\left(x-y\right)\left(\dfrac{1}{2}xy-1\right)\)