Answer:
[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
Step-by-step explanation:
We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.
[tex]Volume = (x-2y)^3[/tex]
We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]
So expanding the given expression accordingly:
[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]
Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
