Final answer:
To factor the expression 2v^2(v-9) + 7(v-9), you factor out the common term (v-9), resulting in the factored form (v-9)(2v^2 + 7).
Step-by-step explanation:
To factor the expression 2v^2(v-9) + 7(v-9), we can factor out the common term (v-9), which is present in both terms of the expression.
The factored form will therefore be:
(v-9)(2v^2 + 7)
We've factored out the common term, simplifying the expression to show that (v-9) is a factor of the entire expression.
This gives us the factored form of the expression.