Basic Math Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

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 $2$ by $2$ .

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

Step 2.1.2

Multiply $5$ by $2$ .

$4 + 10 x - 5 x \cdot 2 - 5 x (5 x)$

Step 2.1.3

Multiply $2$ by $- 5$ .

$4 + 10 x - 10 x - 5 x (5 x)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$4 + 10 x - 10 x - 5 \cdot 5 x \cdot x$

Step 2.1.5

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

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Step 2.1.5.1

Move $x$ .

$4 + 10 x - 10 x - 5 \cdot 5 (x \cdot x)$

Step 2.1.5.2

Multiply $x$ by $x$ .

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

Step 2.1.6

Multiply $- 5$ by $5$ .

$4 + 10 x - 10 x - 25 x^{2}$

Step 2.2

Subtract $10 x$ from $10 x$ .

$4 + 0 - 25 x^{2}$

Step 2.3

Add $4$ and $0$ .

$4 - 25 x^{2}$