\(VP=\left(x-y\right)^3+3xy\left(x-y\right)\)
\(=x^3-3x^2y+3xy^2-y^3+3xy\left(x-y\right)\)
\(=x^3-3xy\left(x-y\right)-y^3+3xy\left(x-y\right)\)
\(=x^3-y^3=VT\left(đpcm\right)\)
Biến đổi VP ta có:
\(\left(x-y\right)^3+3xy\left(x-y\right)\)
\(=x^3-y^3-3xy\left(x-y\right)+3xy\left(x-y\right)\)
\(=x^3-y^3\)
Vậy ....