Factor. 8r^3 + 8r^2 - 3r - 3 ______

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Grouping for Factoring: Group the terms into two pairs to prepare for factoring by grouping. Group the first two terms and the last two terms separately. 8r^3 + 8r^2 - 3r - 3 can be grouped as (8r^3 + 8r^2) + (-3r - 3).Factor out Common Factors: Factor out the greatest common factor from each group. From the first group (8r^3 + 8r^2), factor out 8r^2. 8r^3 + 8r^2 = 8r^2(r + 1). From the second group (-3r - 3), factor out -3. -3r - 3 = -3(r + 1).Rewrite with Factored Groups: Rewrite the expression using the factored groups. The expression becomes 8r^2(r + 1) - 3(r + 1).Factor out Common Binomial: Factor out the common binomial factor (r + 1). The expression now has a common factor of (r + 1) in both terms. 8r^2(r + 1) - 3(r + 1) can be factored as (r + 1)(8r^2 - 3).Check Quadratic Factoring: Check if the quadratic term 8r^2 - 3 can be factored further. The quadratic 8r^2 - 3 is a difference of squares and cannot be factored over the integers since 3 is not a perfect square. Therefore, the factored form is (r + 1)(8r^2 - 3).

Factor. $\newline$ $8r^3 + 8r^2 - 3r - 3$

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Factor.\newline8r3+8r2−3r−38r^3 + 8r^2 - 3r - 38r3+8r2−3r−3

Factor. $\newline$ $8r^3 + 8r^2 - 3r - 3$