Solution :
GIven equation [tex]\frac{1}{3} x (15x-12y)-\frac{1}{2} (6x-4y)[/tex]
To simplify this equation , we first evaluate the terms in bracket
[tex]= \frac{1}{3} x (15x) -\frac{1}{3} x(12y) -\frac{1}{2} (6x)+\frac{1}{2} (4y) \\ = 5x^2-4xy-3x+2y[/tex]
Hence, [tex]\frac{1}{3} x (15x-12y)-\frac{1}{2} (6x-4y) = 5x^2-4xy-3x+2y [/tex]