Algebra Examples

(a - 6) (a + 6)

$(a - 6) (a + 6)$

Step 1

Expand

(a - 6) (a + 6)

$(a - 6) (a + 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

a (a + 6) - 6 (a + 6)

$a (a + 6) - 6 (a + 6)$

Step 1.2

Apply the distributive property.

a \cdot a + a \cdot 6 - 6 (a + 6)

$a \cdot a + a \cdot 6 - 6 (a + 6)$

Step 1.3

Apply the distributive property.

a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6

$a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6$

a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6

$a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6

$a \cdot a + a \cdot 6 - 6 a - 6 \cdot 6$ .

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Step 2.1.1

Reorder the factors in the terms

a \cdot 6

$a \cdot 6$ and

- 6 a

$- 6 a$ .

a \cdot a + 6 a - 6 a - 6 \cdot 6

$a \cdot a + 6 a - 6 a - 6 \cdot 6$

Step 2.1.2

Subtract

6 a

$6 a$ from

6 a

$6 a$ .

a \cdot a + 0 - 6 \cdot 6

$a \cdot a + 0 - 6 \cdot 6$

Step 2.1.3

Add

a \cdot a

$a \cdot a$ and

0

$0$ .

a \cdot a - 6 \cdot 6

$a \cdot a - 6 \cdot 6$

a \cdot a - 6 \cdot 6

$a \cdot a - 6 \cdot 6$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

a

$a$ by

a

$a$ .

a^{2} - 6 \cdot 6

$a^{2} - 6 \cdot 6$

Step 2.2.2

Multiply

- 6

$- 6$ by

6

$6$ .

a^{2} - 36

$a^{2} - 36$

a^{2} - 36

$a^{2} - 36$

a^{2} - 36

$a^{2} - 36$

(a - 6) (a + 6)

$(a - 6) (a + 6)$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$