Algebra Examples

$(2 x + 3) (x - 5)$

Step 1

Expand $(2 x + 3) (x - 5)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$2 x (x - 5) + 3 (x - 5)$

Step 1.2

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 5 + 3 (x - 5)$

Step 1.3

Apply the distributive property.

$2 x \cdot x + 2 x \cdot - 5 + 3 x + 3 \cdot - 5$

$2 x \cdot x + 2 x \cdot - 5 + 3 x + 3 \cdot - 5$

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 $x$ .

$2 (x \cdot x) + 2 x \cdot - 5 + 3 x + 3 \cdot - 5$

Step 2.1.1.2

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot - 5 + 3 x + 3 \cdot - 5$

$2 x^{2} + 2 x \cdot - 5 + 3 x + 3 \cdot - 5$

Step 2.1.2

Multiply $- 5$ by $2$ .

$2 x^{2} - 10 x + 3 x + 3 \cdot - 5$

Step 2.1.3

Multiply $3$ by $- 5$ .

$2 x^{2} - 10 x + 3 x - 15$

$2 x^{2} - 10 x + 3 x - 15$

Step 2.2

Add $- 10 x$ and $3 x$ .

$2 x^{2} - 7 x - 15$

$2 x^{2} - 7 x - 15$

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