Question

Phân tích đa thức thành nhân tử :x^3-x^2y-xy^2+y^2

Answer 1

\(x^3-x^{22}-xy^2+y^2\)

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

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

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

Answer 2

\(x^3-x^2y-xy^2+y^3\)

\(=\left(x^3-x^2y\right)-\left(xy^2-y^3\right)\)

\(=x^2\left(x-y\right)-y^2\left(x-y\right)\)

\(=\left(x^2-y^2\right)\left(x-y\right)\)

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

\(=\left(x-y\right)^2.\left(x+y\right)\)

Answer 3

Phạm Tuấn Đạt viết sai đề kìa