Algebra Examples

$2 x (3 x) + 2 x (5)$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x + 2 x (5)$

Step 2

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

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Step 2.1

Move $x$ .

$2 \cdot 3 (x \cdot x) + 2 x (5)$

Step 2.2

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2} + 2 x (5)$

Step 3

Multiply $2$ by $3$ .

$6 x^{2} + 2 x (5)$

Step 4

Multiply $5$ by $2$ .

$6 x^{2} + 10 x$

Step 5

Factor $2 x$ out of $6 x^{2} + 10 x$ .

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Step 5.1

Factor $2 x$ out of $6 x^{2}$ .

$2 x (3 x) + 10 x$

Step 5.2

Factor $2 x$ out of $10 x$ .

$2 x (3 x) + 2 x (5)$

Step 5.3

Factor $2 x$ out of $2 x (3 x) + 2 x (5)$ .

$2 x (3 x + 5)$