Algebra Examples

$f (2) = x^{3} + x^{2} + x^{1} + x^{0}$

Step 1

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

$f (2) = {(2)}^{3} + {(2)}^{2} + 2 + {(2)}^{0}$

Step 2

Simplify the result.

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Step 2.1

Remove parentheses.

$f (2) = {(2)}^{3} + {(2)}^{2} + 2 + {(2)}^{0}$

Step 2.2

Simplify each term.

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Step 2.2.1

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

$f (2) = 8 + {(2)}^{2} + 2 + {(2)}^{0}$

Step 2.2.2

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

$f (2) = 8 + 4 + 2 + {(2)}^{0}$

Step 2.2.3

Anything raised to $0$ is $1$ .

$f (2) = 8 + 4 + 2 + 1$

$f (2) = 8 + 4 + 2 + 1$

Step 2.3

Simplify by adding numbers.

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Step 2.3.1

Add $8$ and $4$ .

$f (2) = 12 + 2 + 1$

Step 2.3.2

Add $12$ and $2$ .

$f (2) = 14 + 1$

Step 2.3.3

Add $14$ and $1$ .

$f (2) = 15$

$f (2) = 15$

Step 2.4

The final answer is $15$ .

$15$

$15$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$