Factor the expression: 4n^3 + 8n^2 - 5n - 10
(n+2)(4n^2 - 5)?
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To factor the expression 4n^3 + 8n^2 - 5n - 10, we can first look for common factors, if any. In this case, there are no common factors that we can factor out.
Next, we can try to factor by grouping. Grouping involves grouping terms together in pairs, and then factoring out the greatest common factor from each pair.
Let's group the terms:
(4n^3 + 8n^2) + (-5n - 10)
Now, factor out the greatest common factor from each pair of terms:
4n^2(n + 2) - 5(n + 2)
Notice that both terms in the parentheses are the same (n + 2). We can factor out this common factor:
(n + 2)(4n^2 - 5)
So, the factored form of the expression 4n^3 + 8n^2 - 5n - 10 is (n + 2)(4n^2 - 5).