kingsean1201 kingsean1201
  • 23-03-2022
  • Mathematics
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Subtract the rational expression

Please show steps

Subtract the rational expression Please show steps class=

Respuesta :

ea5874
ea5874 ea5874
  • 24-03-2022
it's -x^3 + x^2 + 58x - 184 / (x^2+4x-32)(x-4)!

Explanation:
= 6/x^2+4x-32 - x-5/x-4
= 6(x-4) - (x-5)(x^2+4x-32) / (x^2+4x-32)(x-4)
= 6x-24-x^3-4x^2+32x+5x^2+20x-160 / (x^2+4x-32)(x-4)
= -x^3 + x^2 + 58x - 184 / (x^2+4x-32)(x-4)

if you need to keep simplifying with the denominator or whatnot lmk but here you go!
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