Algebra Examples

$8 x^{3} + 15 x^{2} - 7 x - 5$ at $x = 1$

Step 1

Replace the variable $x$ with $1$ in the expression.

$8 {(1)}^{3} + 15 {(1)}^{2} - 7 \cdot 1 - 5$

Step 2

Simplify each term.

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Step 2.1

One to any power is one.

$8 \cdot 1 + 15 {(1)}^{2} - 7 \cdot 1 - 5$

Step 2.2

Multiply $8$ by $1$ .

$8 + 15 {(1)}^{2} - 7 \cdot 1 - 5$

Step 2.3

One to any power is one.

$8 + 15 \cdot 1 - 7 \cdot 1 - 5$

Step 2.4

Multiply $15$ by $1$ .

$8 + 15 - 7 \cdot 1 - 5$

Step 2.5

Multiply $- 7$ by $1$ .

$8 + 15 - 7 - 5$

$8 + 15 - 7 - 5$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $8$ and $15$ .

$23 - 7 - 5$

Step 3.2

Subtract $7$ from $23$ .

$16 - 5$

Step 3.3

Subtract $5$ from $16$ .

$11$

$11$

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