Chemistry Examples

$6 - 2 (4 - x (x - 3) - x (x - 6))$

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.

$6 - 2 (4 - x \cdot x - x \cdot - 3 - x (x - 6))$

Step 1.1.2

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

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Step 1.1.2.1

Move $x$ .

$6 - 2 (4 - (x \cdot x) - x \cdot - 3 - x (x - 6))$

Step 1.1.2.2

Multiply $x$ by $x$ .

$6 - 2 (4 - x^{2} - x \cdot - 3 - x (x - 6))$

Step 1.1.3

Multiply $- 3$ by $- 1$ .

$6 - 2 (4 - x^{2} + 3 x - x (x - 6))$

Step 1.1.4

Apply the distributive property.

$6 - 2 (4 - x^{2} + 3 x - x \cdot x - x \cdot - 6)$

Step 1.1.5

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

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Step 1.1.5.1

Move $x$ .

$6 - 2 (4 - x^{2} + 3 x - (x \cdot x) - x \cdot - 6)$

Step 1.1.5.2

Multiply $x$ by $x$ .

$6 - 2 (4 - x^{2} + 3 x - x^{2} - x \cdot - 6)$

Step 1.1.6

Multiply $- 6$ by $- 1$ .

$6 - 2 (4 - x^{2} + 3 x - x^{2} + 6 x)$

Step 1.2

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

$6 - 2 (4 - 2 x^{2} + 3 x + 6 x)$

Step 1.3

Add $3 x$ and $6 x$ .

$6 - 2 (4 - 2 x^{2} + 9 x)$

Step 1.4

Apply the distributive property.

$6 - 2 \cdot 4 - 2 (- 2 x^{2}) - 2 (9 x)$

Step 1.5

Simplify.

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Step 1.5.1

Multiply $- 2$ by $4$ .

$6 - 8 - 2 (- 2 x^{2}) - 2 (9 x)$

Step 1.5.2

Multiply $- 2$ by $- 2$ .

$6 - 8 + 4 x^{2} - 2 (9 x)$

Step 1.5.3

Multiply $9$ by $- 2$ .

$6 - 8 + 4 x^{2} - 18 x$

Step 2

Simplify the expression.

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Step 2.1

Subtract $8$ from $6$ .

$- 2 + 4 x^{2} - 18 x$

Step 2.2

Move $- 2$ .

$4 x^{2} - 18 x - 2$