Algebra Examples

$x^{3} + 6 x^{2} + 11 x + 6$ , $x = - 3$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

${(- 3)}^{3} + 6 {(- 3)}^{2} + 11 (- 3) + 6$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

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

$- 27 + 6 {(- 3)}^{2} + 11 (- 3) + 6$

Step 2.2

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

$- 27 + 6 \cdot 9 + 11 (- 3) + 6$

Step 2.3

Multiply $6$ by $9$ .

$- 27 + 54 + 11 (- 3) + 6$

Step 2.4

Multiply $11$ by $- 3$ .

$- 27 + 54 - 33 + 6$

Step 3

Simplify by adding and subtracting.

Tap for more steps...

Step 3.1

Add $- 27$ and $54$ .

$27 - 33 + 6$

Step 3.2

Subtract $33$ from $27$ .

$- 6 + 6$

Step 3.3

Add $- 6$ and $6$ .

$0$