Finite Math Examples

$2 g (9 g + 7 x)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$2 g (9 g) + 2 g (7 x)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$2 \cdot 9 g \cdot g + 2 g (7 x)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$2 \cdot 9 g \cdot g + 2 \cdot 7 g x$

Step 2

Simplify each term.

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Step 2.1

Multiply $g$ by $g$ by adding the exponents.

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Step 2.1.1

Move $g$ .

$2 \cdot 9 (g \cdot g) + 2 \cdot 7 g x$

Step 2.1.2

Multiply $g$ by $g$ .

$2 \cdot 9 g^{2} + 2 \cdot 7 g x$

Step 2.2

Multiply $2$ by $9$ .

$18 g^{2} + 2 \cdot 7 g x$

Step 2.3

Multiply $2$ by $7$ .

$18 g^{2} + 14 g x$