This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
here are the solutions to your math problems. 1. If x = 2, find the value of x^3 - 3x^2 + 3x - 1. Step 1: Substitute x=2 into the expression. (2)^3 - 3(2)^2 + 3(2) - 1 Step 2: Evaluate the powers and multiplications. 8 - 3(4) + 6 - 1 8 - 12 + 6 - 1 Step 3: Perform the additions and subtractions. -4 + 6 - 1 2 - 1 1 The value of the expression is 1. 2. If x = 1, find the value of x^3 - 3x^2 + 3x - 1. Step 1: Substitute x=1 into the expression. (1)^3 - 3(1)^2 + 3(1) - 1 Step 2: Evaluate the powers and multiplications. 1 - 3(1) + 3 - 1 1 - 3 + 3 - 1 Step 3: Perform the additions and subtractions. -2 + 3 - 1 1 - 1 0 The value of the expression is 0. 3. If x = -1, find the value of x^3 - 3x^2 + 3x - 1. Step 1: Substitute x=-1 into the expression. (-1)^3 - 3(-1)^2 + 3(-1) - 1 Step 2: Evaluate the powers and multiplications. -1 - 3(1) - 3 - 1 -1 - 3 - 3 - 1 Step 3: Perform the additions and subtractions. -4 - 3 - 1 -7 - 1 -8 The value of the expression is -8. 4. If x = 0, find the value of x^3 - 3x^2 + 3x - 1. Step 1: Substitute x=0 into the expression. (0)^3 - 3(0)^2 + 3(0) - 1 Step 2: Evaluate the powers and multiplications. 0 - 3(0) + 0 - 1 0 - 0 + 0 - 1 Step 3: Perform the additions and subtractions. -1 The value of the expression is -1. 5. If x = 3, find the value of x^3 - 3x^2 + 3x - 1. Step 1: Substitute x=3 into the expression. (3)^3 - 3(3)^2 + 3(3) - 1 Step 2: Evaluate the powers and multiplications. 27 - 3(9) + 9 - 1 27 - 27 + 9 - 1 Step 3: Perform the additions and subtractions. 0 + 9 - 1 8 The value of the expression is 8. Got more? Send 'em!