3vt+v(5v-7t

5v^2 - 7vt + 3vt
combine the last two terms..
5v^2-10vt
factor out a 5v
5v ( you do the rest).

To combine the last two terms in the expression 5v^2 - 7vt + 3vt, you need to add or subtract them to obtain a simplified expression. In this case, -7vt + 3vt can be combined to give -4vt.

Now, the expression becomes 5v^2 - 4vt.

To factor out a common term from this expression, you can look for the greatest common factor (GCF) of the coefficients of v^2 and vt. The GCF of 5 and -4 is 1, so it doesn't affect the expression.

Now, you can factor out v, which is common to both terms. Factoring out v gives:

v(5v - 4t).

Thus, the simplified expression is v(5v - 4t).