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(x³-27)÷(x⁴+3x³-27x-81) simplify this question ?

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The simplified value of the expression is : 1/(x + 3)

Using the expression given for our Calculation;

  • (x³-27)÷(x⁴+3x³-27x-81)

Simplify the numerator and denominator:

  • x³ - 27 = x³ - 27
  • x⁴+3x³-27x-81 = ((x³ - 27)(x + 3))

Simplify:

(x³ - 27) / ((x³ - 27)(x + 3))

cancel out x³ - 27

Now we have :

1/(x + 3)

Hence, the simplified value of the expression is : 1/(x + 3)

User David Padbury
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