Final answer:
To solve (x³-1)-:(x+2), divide (x³-1) by (x+2) and subtract the result from x³-1.
Step-by-step explanation:
To solve the expression (x³-1)-:(x+2), we need to apply the order of operations. First, evaluate the division part of the expression: (x³-1)/(x+2). Then, subtract the result from x³-1. Finally, simplify the resulting expression.
Step 1: Divide (x³-1) by (x+2)
(x³-1)/(x+2)
Step 2: Subtract the result from x³-1
x³-1 - (x³-1)/(x+2)
Step 3: Simplify the expression
x³-1 - (x³-1)/(x+2)