Question

Subtract (-4m^2 +5mw -12w^2) from (-10m^2 -11mw -7w^2)

Answer 1

If we subtract:

`-4m^2+5mw-12w^2`

From:

`-10m^2-11mw-7w^2`

Then, we can proceed as follows:

`\begin{cases}-10m^2-11mw-7w^2 \\ -(-4m^2+5mw-12w^2)\end{cases}`

Now, we need to multiply the second expression by -1, and then add algebraically the like terms, as follows:

`\frac{\begin{cases}-10m^2-11mw-7w^2 \\ +4m^2-5mw+12w^2\end{cases}}{-6m^2-16mw+5w^2}`

Therefore, the answer is:

`-6m^2-16mw+5w^2`