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

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Solution

Solution:-
$(5 x + 3) (x - 1) (3 x - 2)$
$= (5 x (x - 1) + 3 (x - 1)) (3 x - 2)$
$= (5 x^{2} - 5 x + 3 x - 3) (3 x - 2)$
$= (5 x^{2} - 2 x - 3) (3 x - 2)$
$= (5 x^{2} (3 x - 2) - 2 x (3 x - 2) - 3 (3 x - 2))$
$= (15 x^{3} - 10 x^{2} - 6 x^{2} + 4 x - 9 x + 6)$
$= 15 x^{3} - 16 x^{2} - 5 x + 6$

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

f (x) = 12 x^{3} - 13 x^{2} - 5 x + 7

(3 x + 2) .

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6 x^{3} - 5 x^{2} - 13 x + 12

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