Algebra Examples

$x (2 x + 3 (x - (3 x + 1)))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x (2 x + 3 (x - (3 x) - 1 \cdot 1))$

Step 1.1.2

Multiply $3$ by $- 1$ .

$x (2 x + 3 (x - 3 x - 1 \cdot 1))$

Step 1.1.3

Multiply $- 1$ by $1$ .

$x (2 x + 3 (x - 3 x - 1))$

$x (2 x + 3 (x - 3 x - 1))$

Step 1.2

Subtract $3 x$ from $x$ .

$x (2 x + 3 (- 2 x - 1))$

Step 1.3

Apply the distributive property.

$x (2 x + 3 (- 2 x) + 3 \cdot - 1)$

Step 1.4

Multiply $- 2$ by $3$ .

$x (2 x - 6 x + 3 \cdot - 1)$

Step 1.5

Multiply $3$ by $- 1$ .

$x (2 x - 6 x - 3)$

$x (2 x - 6 x - 3)$

Step 2

Simplify terms.

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Step 2.1

Subtract $6 x$ from $2 x$ .

$x (- 4 x - 3)$

Step 2.2

Apply the distributive property.

$x (- 4 x) + x \cdot - 3$

Step 2.3

Reorder.

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Step 2.3.1

Rewrite using the commutative property of multiplication.

$- 4 x \cdot x + x \cdot - 3$

Step 2.3.2

Move $- 3$ to the left of $x$ .

$- 4 x \cdot x - 3 \cdot x$

$- 4 x \cdot x - 3 \cdot x$

$- 4 x \cdot x - 3 \cdot x$

Step 3

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

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Step 3.1

Move $x$ .

$- 4 (x \cdot x) - 3 \cdot x$

Step 3.2

Multiply $x$ by $x$ .

$- 4 x^{2} - 3 \cdot x$

$- 4 x^{2} - 3 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$