Pre-Algebra Examples

$3 x (2 x + 3 y)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$3 x (2 x) + 3 x (3 y)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 x (3 y)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 \cdot 3 x y$

Step 2

Simplify each term.

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Step 2.1

Multiply $x$ by $x$ by adding the exponents.

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Step 2.1.1

Move $x$ .

$3 \cdot 2 (x \cdot x) + 3 \cdot 3 x y$

Step 2.1.2

Multiply $x$ by $x$ .

$3 \cdot 2 x^{2} + 3 \cdot 3 x y$

Step 2.2

Multiply $3$ by $2$ .

$6 x^{2} + 3 \cdot 3 x y$

Step 2.3

Multiply $3$ by $3$ .

$6 x^{2} + 9 x y$