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$(5 x + 3) (x - 1) (3 x - 2)$

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Solution

$(5 x + 3) (x - 1) (3 x - 2) = (5 x + 3) [x (3 x - 2) - 1 (3 x - 2)] = (5 x + 3) [3 x^{2} - 2 x - 3 x + 2] = (5 x + 3) [3 x^{2} - 5 x + 2] = 5 x (3 x^{2} - 5 x + 2) + 3 (3 x^{2} - 5 x + 2) = (5 x \times 3 x^{2} - 5 x \times 5 x + 5 x \times 2) + [3 \times 3 x^{2} + 3 \times (- 5 x) + 3 \times 2] = 15 x^{3} - 25 x^{2} + 10 x + 9 x^{2} - 15 x + 6 = 15 x^{3} - 25 x^{2} + 9 x^{2} + 10 x - 15 x + 6 = 15 x^{3} - 16 x^{2} - 5 x + 6$

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(5 x + 3) (x - 1) (3 x - 2)

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