The subtractiion we are asked to carry out is
[tex](-10m^2-11mw-7w^2)-(-4m^2+5mw-12w^2)[/tex]In subtracting the expression given we first get rid of the parenthesis by writing out the subtraction as
[tex]-10m^2-11mw-7w^2+4m^2-5mw+12w^2[/tex]now we combine the like terms to get
[tex](-10m^2+4m^2)+(-11mw-5mw\text{)}+(-7w^2+12w^2)[/tex]simplifying the above gives
[tex]-6m^2-16mw+5w^2[/tex]which is our answer!
