Multiply out (3x3 + 4x - 5)(2x3 - 8x2 + 2) using polynomial long multiplication.
(3x3+4x−5)(2x3−8x2+2)==3x3⋅2x3+3x3⋅(−8x2)+3x3⋅2++4x⋅2x3+4x⋅(−8x2)+4x⋅2−−5⋅2x3−5⋅(−8x2)−5⋅2==6x6−24x5+6x3++8x4−32x3+8x−−10x3+40x2−10==6x6−24x5+8x4−36x3+40x2+8x−10(3x^3+4x-5)(2x^3-8x^2+2)=\\= 3x^3\cdot2x^3+3x^3\cdot(-8x^2)+3x^3\cdot2+\\ +4x\cdot2x^3+4x\cdot(-8x^2)+4x\cdot2-\\ -5\cdot2x^3-5\cdot(-8x^2)-5\cdot2=\\ =6x^6-24x^5+6x^3+\\ +8x^4-32x^3+8x-\\ -10x^3+40x^2-10=\\ =6x^6-24x^5+8x^4-36x^3+40x^2+8x-10(3x3+4x−5)(2x3−8x2+2)==3x3⋅2x3+3x3⋅(−8x2)+3x3⋅2++4x⋅2x3+4x⋅(−8x2)+4x⋅2−−5⋅2x3−5⋅(−8x2)−5⋅2==6x6−24x5+6x3++8x4−32x3+8x−−10x3+40x2−10==6x6−24x5+8x4−36x3+40x2+8x−10
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