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here are the solutions to your math problems.

1. If $x = 2$ , find the value of $x^3 - 3x^2 + 3x - 1$ .

Substitute $x=2$ into the expression.
$(2)^3 - 3(2)^2 + 3(2) - 1$
Evaluate the powers and multiplications.
$8 - 3(4) + 6 - 1$ $8 - 12 + 6 - 1$
Perform the additions and subtractions.
$-4 + 6 - 1$ $2 - 1$ $1$
The value of the expression is $\boxed{\textbf{1}}$ .

2. If $x = 1$ , find the value of $x^3 - 3x^2 + 3x - 1$ .
Substitute $x=1$ into the expression.
$(1)^3 - 3(1)^2 + 3(1) - 1$
Evaluate the powers and multiplications.
$1 - 3(1) + 3 - 1$ $1 - 3 + 3 - 1$
Perform the additions and subtractions.
$-2 + 3 - 1$ $1 - 1$ $0$
The value of the expression is $\boxed{\textbf{0}}$ .

3. If $x = -1$ , find the value of $x^3 - 3x^2 + 3x - 1$ .
Substitute $x=-1$ into the expression.
$(-1)^3 - 3(-1)^2 + 3(-1) - 1$
Evaluate the powers and multiplications.
$-1 - 3(1) - 3 - 1$ $-1 - 3 - 3 - 1$
Perform the additions and subtractions.
$-4 - 3 - 1$ $-7 - 1$ $-8$
The value of the expression is $\boxed{\textbf{-8}}$ .

4. If $x = 0$ , find the value of $x^3 - 3x^2 + 3x - 1$ .
Substitute $x=0$ into the expression.
$(0)^3 - 3(0)^2 + 3(0) - 1$
Evaluate the powers and multiplications.
$0 - 3(0) + 0 - 1$ $0 - 0 + 0 - 1$
Perform the additions and subtractions.
$-1$
The value of the expression is $\boxed{\textbf{-1}}$ .

5. If $x = 3$ , find the value of $x^3 - 3x^2 + 3x - 1$ .
Substitute $x=3$ into the expression.
$(3)^3 - 3(3)^2 + 3(3) - 1$
Evaluate the powers and multiplications.
$27 - 3(9) + 9 - 1$ $27 - 27 + 9 - 1$
Perform the additions and subtractions.
$0 + 9 - 1$ $8$
The value of the expression is $\boxed{\textbf{8}}$ .

Please solve these questions

Step-by-step solution

Substitute $x=2$ into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute $x=1$ into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute $x=-1$ into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute $x=0$ into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute $x=3$ into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

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More Mathematics Questions

Please solve these questions

Step-by-step solution

Substitute x=2x=2x=2 into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute x=1x=1x=1 into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute x=−1x=-1x=−1 into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute x=0x=0x=0 into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Substitute x=3x=3x=3 into the expression.

Evaluate the powers and multiplications.

Perform the additions and subtractions.

Still stuck on this one?

More Mathematics Questions

Substitute $x=2$ into the expression.

Substitute $x=1$ into the expression.

Substitute $x=-1$ into the expression.

Substitute $x=0$ into the expression.

Substitute $x=3$ into the expression.