How do you subtract (6v ^ { 2} + 10v t - 3t ^ { 2} ) - ( 9v ^ { 2} - 8v t + 14t ^ { 2} )?

1 Answer
Apr 3, 2017

Simplify to get -3v^2+18vt-17t^2.

Explanation:

First, you'd want to distribute the negative to your last three values, so you'd end up with 6v^2+10vt-3t^2-9v^2+8vt-14t^2.

You can then add or subtract the like terms, such as 6v^2 and -9v^2, 10vt and 8vt, and -3t^2 and -14t^2.

6v^2-9v^2=-3v^2.
10vt+8vt=18vt.
-3t^2-14t^2=-17t^2.

You can then combine your three simplified terms into one expression.

-3v^2+18vt-17t^2.