Algebra Examples

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

Step 1

Expand

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

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

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Step 2.1.1

Reorder the factors in the terms

$4 x \cdot 2$ and

$- 2 (4 x)$ .

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

Step 2.1.2

Subtract

$2 \cdot 4 x$ from

$2 \cdot 4 x$ .

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

Step 2.1.3

Add

$4 x (4 x)$ and

$0$ .

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

Step 2.2

Simplify each term.

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Step 2.2.1

Rewrite using the commutative property of multiplication.

$4 \cdot 4 x \cdot x - 2 \cdot 2$

Step 2.2.2

Multiply

$x$ by

$x$ by adding the exponents.

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Step 2.2.2.1

Move

$x$ .

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

Step 2.2.2.2

Multiply

$x$ by

$x$ .

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

Step 2.2.3

Multiply

$4$ by

$4$ .

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

Step 2.2.4

Multiply

$- 2$ by

$2$ .

$16 x^{2} - 4$