Basic Math Examples

$f (x) = x^{2} + 2 x$ , $g (x) = - 2$ , $2 f (3) - 4 g \cdot - 2$

Step 1

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

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

Step 2

Replace the function designators in $2 f (3) - 4 g \cdot - 2$ with the actual functions.

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

Step 3

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

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Step 3.1

Simplify each term.

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Step 3.1.1

Simplify each term.

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Step 3.1.1.1

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

$2 (9 + 2 (3)) - 4 \cdot - 2 \cdot - 2$

Step 3.1.1.2

Multiply $2$ by $3$ .

$2 (9 + 6) - 4 \cdot - 2 \cdot - 2$

Step 3.1.2

Add $9$ and $6$ .

$2 \cdot 15 - 4 \cdot - 2 \cdot - 2$

Step 3.1.3

Multiply $2$ by $15$ .

$30 - 4 \cdot - 2 \cdot - 2$

Step 3.1.4

Multiply $- 4 \cdot - 2 \cdot - 2$ .

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Step 3.1.4.1

Multiply $- 4$ by $- 2$ .

$30 + 8 \cdot - 2$

Step 3.1.4.2

Multiply $8$ by $- 2$ .

$30 - 16$

Step 3.2

Subtract $16$ from $30$ .

$14$