Factor 16p^3-20p^2+36p-45

$16 p^{3} - 20 p^{2} + 36 p - 45$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(16 p^{3} - 20 p^{2}) + 36 p - 45$

Factor out the greatest common factor (GCF) from each group.

$4 p^{2} (4 p - 5) + 9 (4 p - 5)$

Factor the polynomial by factoring out the greatest common factor, $4 p - 5$ .

$(4 p - 5) (4 p^{2} + 9)$

Factor 16p^3-20p^2+36p-45

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