Algebra Examples

$2 x (5 x - 2)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

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

Step 1.2.2

Multiply

$- 2$ by

$2$ .

$2 \cdot 5 x \cdot x - 4 x$

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

$x$ .

$2 \cdot 5 (x \cdot x) - 4 x$

Step 2.1.2

Multiply

$x$ by

$x$ .

$2 \cdot 5 x^{2} - 4 x$

Step 2.2

Multiply

$2$ by

$5$ .

$10 x^{2} - 4 x$