Calculus Examples

$(2 x^{2} - 3 x + 2) (2 - 4 x - x^{2})$ , $x = - 3$

Step 1

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

$(2 {(- 3)}^{2} - 3 \cdot - 3 + 2) (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 2

Simplify each term.

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Step 2.1

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

$(2 \cdot 9 - 3 \cdot - 3 + 2) (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 2.2

Multiply $2$ by $9$ .

$(18 - 3 \cdot - 3 + 2) (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 2.3

Multiply $- 3$ by $- 3$ .

$(18 + 9 + 2) (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $18$ and $9$ .

$(27 + 2) (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 3.2

Add $27$ and $2$ .

$29 (2 - 4 \cdot - 3 - {(- 3)}^{2})$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 4$ by $- 3$ .

$29 (2 + 12 - {(- 3)}^{2})$

Step 4.2

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

$29 (2 + 12 - 1 \cdot 9)$

Step 4.3

Multiply $- 1$ by $9$ .

$29 (2 + 12 - 9)$

Step 5

Simplify the expression.

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Step 5.1

Add $2$ and $12$ .

$29 (14 - 9)$

Step 5.2

Subtract $9$ from $14$ .

$29 \cdot 5$

Step 5.3

Multiply $29$ by $5$ .

$145$