Exciting Math Challenge: Factor the Expression!

Explanation:

To factor the expression 20g² + 24g - 15g - 18, we look for common factors in each term and group them to simplify the expression. Upon examining the coefficients, we identify a common factor of 4g in the first two terms, and a common factor of -3 in the last two terms. The expression can then be factored as:

4g(5g + 6) - 3(5g + 6)

Now we can see that (5g + 6) is a common binomial, factoring further we have:

(4g - 3)(5g + 6)

However, this result does not match any of the provided options exactly since the original expression appears to have a typo. Let's assume the first '24g²' was meant to be '24g' making the expression '20g² + 24g - 15g - 18'. The factorization would then be:

(4g - 3)(5g + 6)

Unfortunately, none of the provided options include this factorization, suggesting that either there is a typo in the options as well, or the original expression has been written incorrectly.