Evaluate Using the Given Value 2x^2-4x+1 when x=2

$2 x^{2} - 4 x + 1$ when $x = 2$

Step 1

Replace the variable $x$ with $2$ in the expression.

$2 {(2)}^{2} - 4 \cdot 2 + 1$

Step 2

Simplify each term.

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

Raise $2$ to the power of $1$ .

$2^{1} {(2)}^{2} - 4 \cdot 2 + 1$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2^{1 + 2} - 4 \cdot 2 + 1$

Add $1$ and $2$ .

$2^{3} - 4 \cdot 2 + 1$

Raise $2$ to the power of $3$ .

$8 - 4 \cdot 2 + 1$

Multiply $- 4$ by $2$ .

$8 - 8 + 1$

Step 3

Simplify by adding and subtracting.

Subtract $8$ from $8$ .

$0 + 1$

Add $0$ and $1$ .

$1$