Algebra Examples

$2 x (x - 6) - 7 x^{2} - (13 x - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 6 - 7 x^{2} - (13 x - 3)$

Step 1.2

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

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Step 1.2.1

Move $x$ .

$2 (x \cdot x) + 2 x \cdot - 6 - 7 x^{2} - (13 x - 3)$

Step 1.2.2

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 6 - 7 x^{2} - (13 x - 3)$

Step 1.3

Multiply $- 6$ by $2$ .

$2 x^{2} - 12 x - 7 x^{2} - (13 x - 3)$

Step 1.4

Apply the distributive property.

$2 x^{2} - 12 x - 7 x^{2} - (13 x) - - 3$

Step 1.5

Multiply $13$ by $- 1$ .

$2 x^{2} - 12 x - 7 x^{2} - 13 x - - 3$

Step 1.6

Multiply $- 1$ by $- 3$ .

$2 x^{2} - 12 x - 7 x^{2} - 13 x + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 x^{2}$ from $2 x^{2}$ .

$- 5 x^{2} - 12 x - 13 x + 3$

Step 2.2

Subtract $13 x$ from $- 12 x$ .

$- 5 x^{2} - 25 x + 3$