Algebra Examples

$x (3 x - 1)$

Step 1

Simplify by multiplying through.

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Apply the distributive property.

$x (3 x) + x \cdot - 1$

Reorder.

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Rewrite using the commutative property of multiplication.

$3 x \cdot x + x \cdot - 1$

Move $- 1$ to the left of $x$ .

$3 x \cdot x - 1 \cdot x$

Step 2

Simplify each term.

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

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Move $x$ .

$3 (x \cdot x) - 1 \cdot x$

Multiply $x$ by $x$ .

$3 x^{2} - 1 \cdot x$

Rewrite $- 1 x$ as $- x$ .

$3 x^{2} - x$