Chemistry Examples

$(5 x - 4) (x + 2)$

Step 1

Expand $(5 x - 4) (x + 2)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$5 x (x + 2) - 4 (x + 2)$

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

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

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Step 2.1.1.1

Move $x$ .

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

Step 2.1.1.2

Multiply $x$ by $x$ .

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

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

Step 2.1.2

Multiply $2$ by $5$ .

$5 x^{2} + 10 x - 4 x - 4 \cdot 2$

Step 2.1.3

Multiply $- 4$ by $2$ .

$5 x^{2} + 10 x - 4 x - 8$

$5 x^{2} + 10 x - 4 x - 8$

Step 2.2

Subtract $4 x$ from $10 x$ .

$5 x^{2} + 6 x - 8$

$5 x^{2} + 6 x - 8$

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