Answer:
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
[tex]Volume = (x+7y) * (7x-y) * (xy-5)[/tex]
Evaluate the first 2 brackets
[tex]Volume = [x(7x-y)+7y(7x-y)] * (xy-5)[/tex]
[tex]Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)[/tex]
[tex]Volume = [7x^2-xy+49xy-7y^2] * (xy-5)[/tex]
[tex]Volume = [7x^2+48xy-7y^2] * (xy-5)[/tex]
Open brackets
[tex]Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2][/tex]
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
