Algebra Examples

$(1 + 6 x) (1 - 6 x)$

Step 1

Expand $(1 + 6 x) (1 - 6 x)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$1 (1 - 6 x) + 6 x (1 - 6 x)$

Step 1.2

Apply the distributive property.

$1 \cdot 1 + 1 (- 6 x) + 6 x (1 - 6 x)$

Step 1.3

Apply the distributive property.

$1 \cdot 1 + 1 (- 6 x) + 6 x \cdot 1 + 6 x (- 6 x)$

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 $1$ by $1$ .

$1 + 1 (- 6 x) + 6 x \cdot 1 + 6 x (- 6 x)$

Step 2.1.2

Multiply $- 6 x$ by $1$ .

$1 - 6 x + 6 x \cdot 1 + 6 x (- 6 x)$

Step 2.1.3

Multiply $6$ by $1$ .

$1 - 6 x + 6 x + 6 x (- 6 x)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$1 - 6 x + 6 x + 6 \cdot - 6 x \cdot x$

Step 2.1.5

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

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Step 2.1.5.1

Move $x$ .

$1 - 6 x + 6 x + 6 \cdot - 6 (x \cdot x)$

Step 2.1.5.2

Multiply $x$ by $x$ .

$1 - 6 x + 6 x + 6 \cdot - 6 x^{2}$

Step 2.1.6

Multiply $6$ by $- 6$ .

$1 - 6 x + 6 x - 36 x^{2}$

Step 2.2

Add $- 6 x$ and $6 x$ .

$1 + 0 - 36 x^{2}$

Step 2.3

Add $1$ and $0$ .

$1 - 36 x^{2}$