Which expression is equivalent to `6q^{2}-\frac{1}{3}\left(3q-10\right)\ +\ 4q^{2}`?

Answer 1

The expression is equivalent to `6q^2 - \frac{1}{3}(3q - 10) + 4q^2.`

First, distribute the $\frac{1}{3}$:

`6q^2 - \frac{1}{3}(3q) + \frac{1}{3}(10) + 4q^2`

`6q^2 - q + \frac{10}{3} + 4q^2`

Combine like terms:

`6q^2 + 4q^2 - q + \frac{10}{3}`

`10q^2 - q + \frac{10}{3}`

Therefore, the equivalent expression is `10q^2 - q + \frac{10}{3}`.