Algebra Examples

$2 x (3 x - 5)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x + 2 x \cdot - 5$

Step 1.2.2

Multiply $- 5$ by $2$ .

$2 \cdot 3 x \cdot x - 10 x$

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 $x$ .

$2 \cdot 3 (x \cdot x) - 10 x$

Step 2.1.2

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2} - 10 x$

Step 2.2

Multiply $2$ by $3$ .

$6 x^{2} - 10 x$