Question

С
Factorize
8x³-16x-85

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Answer 1

Step-by-step explanation:

${8x}^{3} - 16x - 85 = 0$

${8x}^{3 } - 16x - 125 + 40 = 0$

$( {8x}^{3} - 125 ) - (16x - 40) = 0$

$( {2x}^{3} - {5}^{3} ) - 8(2x - 5) = 0$

$(2x - 5)( {4x}^{2} + 25 + 10x) - 8(2x - 5)( {4x}^{2} + 10x + 25 - 8 = 0$

$(2x - 5)( {4x}^{2} + 10x + 12) = 0$

$(2x - 5)( {4x}^{2} + 10x + 17) = 0$