Factor. 15u^3 + 20u^2 - 3u - 4 ______

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Group terms: Group terms to find common factors. Group the first two terms and the last two terms separately. 15u^3 + 20u^2 - 3u - 4 can be written as (15u^3 + 20u^2) + (-3u - 4).Factor common terms: Factor out the greatest common factor from each group. From the first group (15u^3 + 20u^2), we can factor out 5u^2, giving us 5u^2(3u + 4). From the second group (-3u - 4), we can factor out -1, giving us -1(3u + 4). Now we have 5u^2(3u + 4) - 1(3u + 4).Factor binomial: Factor out the common binomial factor. Both groups contain the common factor (3u + 4). Factor out (3u + 4) from both groups. This gives us (3u + 4)(5u^2 - 1).Factor difference of squares: Factor the difference of squares if possible. The second term (5u^2 - 1) is a difference of squares and can be factored further. 5u^2 - 1 can be written as (sqrt(5)u)^2 - (1)^2, which is a difference of squares. Factoring this gives us (sqrt(5)u - 1)(sqrt(5)u + 1).Write final form: Write the final factored form. Combine the factored terms to get the final factored form of the original polynomial. The final factored form is (3u + 4)((sqrt(5)u - 1)(sqrt(5)u + 1)).

Factor. $\newline$ $15u^3 + 20u^2 - 3u - 4$

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Factor.\newline15u3+20u2−3u−415u^3 + 20u^2 - 3u - 415u3+20u2−3u−4

Factor. $\newline$ $15u^3 + 20u^2 - 3u - 4$