The simplified value of the expression is : 1/(x + 3)
Using the expression given for our Calculation;
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)