Algebra Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $4 \cdot 4 + 4 (2 x) - 2 x \cdot 4 - 2 x (2 x)$ .

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Step 2.1.1

Reorder the factors in the terms $4 (2 x)$ and $- 2 x \cdot 4$ .

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

Step 2.1.2

Subtract $2 \cdot 4 x$ from $2 \cdot 4 x$ .

$4 \cdot 4 + 0 - 2 x (2 x)$

Step 2.1.3

Add $4 \cdot 4$ and $0$ .

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

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $4$ by $4$ .

$16 - 2 x (2 x)$

Step 2.2.2

Rewrite using the commutative property of multiplication.

$16 - 2 \cdot 2 x \cdot x$

Step 2.2.3

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

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Step 2.2.3.1

Move $x$ .

$16 - 2 \cdot 2 (x \cdot x)$

Step 2.2.3.2

Multiply $x$ by $x$ .

$16 - 2 \cdot 2 x^{2}$

Step 2.2.4

Multiply $- 2$ by $2$ .

$16 - 4 x^{2}$