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:

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