Question

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

Answer 1

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`.