Algebra Examples

$(x - 5) (x + 5)$

Step 1

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

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Step 1.1

Apply the distributive property.

$x (x + 5) - 5 (x + 5)$

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot 5 - 5 x - 5 \cdot 5$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $x \cdot x + x \cdot 5 - 5 x - 5 \cdot 5$ .

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Step 2.1.1

Reorder the factors in the terms $x \cdot 5$ and $- 5 x$ .

$x \cdot x + 5 x - 5 x - 5 \cdot 5$

Step 2.1.2

Subtract $5 x$ from $5 x$ .

$x \cdot x + 0 - 5 \cdot 5$

Step 2.1.3

Add $x \cdot x$ and $0$ .

$x \cdot x - 5 \cdot 5$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $x$ by $x$ .

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

Step 2.2.2

Multiply $- 5$ by $5$ .

$x^{2} - 25$