Pre-Algebra Examples

$(8 x + 3) (8 x - 3)$

Step 1

Expand $(8 x + 3) (8 x - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$8 x (8 x - 3) + 3 (8 x - 3)$

Step 1.2

Apply the distributive property.

$8 x (8 x) + 8 x \cdot - 3 + 3 (8 x - 3)$

Step 1.3

Apply the distributive property.

$8 x (8 x) + 8 x \cdot - 3 + 3 (8 x) + 3 \cdot - 3$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $8 x (8 x) + 8 x \cdot - 3 + 3 (8 x) + 3 \cdot - 3$ .

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Step 2.1.1

Reorder the factors in the terms $8 x \cdot - 3$ and $3 (8 x)$ .

$8 x (8 x) - 3 \cdot 8 x + 3 \cdot 8 x + 3 \cdot - 3$

Step 2.1.2

Add $- 3 \cdot 8 x$ and $3 \cdot 8 x$ .

$8 x (8 x) + 0 + 3 \cdot - 3$

Step 2.1.3

Add $8 x (8 x)$ and $0$ .

$8 x (8 x) + 3 \cdot - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Rewrite using the commutative property of multiplication.

$8 \cdot 8 x \cdot x + 3 \cdot - 3$

Step 2.2.2

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

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Step 2.2.2.1

Move $x$ .

$8 \cdot 8 (x \cdot x) + 3 \cdot - 3$

Step 2.2.2.2

Multiply $x$ by $x$ .

$8 \cdot 8 x^{2} + 3 \cdot - 3$

Step 2.2.3

Multiply $8$ by $8$ .

$64 x^{2} + 3 \cdot - 3$

Step 2.2.4

Multiply $3$ by $- 3$ .

$64 x^{2} - 9$