Factor the expression.
20g^3+24g^2-15g-18
To factor the expression 20g^3 + 24g^2 - 15g - 18, we can group the terms:
(20g^3 + 24g^2) - (15g + 18)
Then, we can factor out the greatest common factor from each group:
4g^2(5g + 6) - 3(5g + 6)
Now, notice that there is a common binomial factor of (5g + 6). Factoring this out gives us:
(4g^2 - 3)(5g + 6)
Therefore, the expression 20g^3 + 24g^2 - 15g - 18 can be factored as (4g^2 - 3)(5g + 6).