Let's factor the expression \(8g^3 + 10g^2 - 12g - 15\).
First, we can try to group the terms in pairs:
\[
(8g^3 + 10g^2) + (-12g - 15)
\]
We can factor out the greatest common factor from each pair:
\[
2g^2(4g + 5) - 3(4g + 5)
\]
Next, we observe that each group contains a common factor, \(4g + 5\):
\[
(2g^2 - 3)(4g + 5)
\]
So the expression \(8g^3 + 10g^2 - 12g - 15\) factors to:
\[
(2g^2 - 3)(4g + 5)
\]
Therefore, the correct answer is:
\[
(2g^2 - 3)(4g + 5)
\]
So, the correct option is:
\[
(2g^2 - 3)(4g + 5)
\]
8.
Factor the expression.
8g3 + 10g2 – 12g – 15
(2g2 – 5)(4g + 3)
(2g2 + 5)(4g – 3)
(2g2 – 3)(4g + 5)
(2g2 + 3)(4g – 5)
1 answer