Basic Math Examples

(q + 6) (q - 6)

$(q + 6) (q - 6)$

Step 1

Expand

(q + 6) (q - 6)

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

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Step 1.1

Apply the distributive property.

q (q - 6) + 6 (q - 6)

$q (q - 6) + 6 (q - 6)$

Step 1.2

Apply the distributive property.

q \cdot q + q \cdot - 6 + 6 (q - 6)

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

Step 1.3

Apply the distributive property.

q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6

$q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6$

q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6

$q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6

$q \cdot q + q \cdot - 6 + 6 q + 6 \cdot - 6$ .

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Step 2.1.1

Reorder the factors in the terms

q \cdot - 6

$q \cdot - 6$ and

6 q

$6 q$ .

q \cdot q - 6 q + 6 q + 6 \cdot - 6

$q \cdot q - 6 q + 6 q + 6 \cdot - 6$

Step 2.1.2

Add

- 6 q

$- 6 q$ and

6 q

$6 q$ .

q \cdot q + 0 + 6 \cdot - 6

$q \cdot q + 0 + 6 \cdot - 6$

Step 2.1.3

Add

q \cdot q

$q \cdot q$ and

0

$0$ .

q \cdot q + 6 \cdot - 6

$q \cdot q + 6 \cdot - 6$

q \cdot q + 6 \cdot - 6

$q \cdot q + 6 \cdot - 6$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

q

$q$ by

q

$q$ .

q^{2} + 6 \cdot - 6

$q^{2} + 6 \cdot - 6$

Step 2.2.2

Multiply

6

$6$ by

- 6

$- 6$ .

q^{2} - 36

$q^{2} - 36$

q^{2} - 36

$q^{2} - 36$

q^{2} - 36

$q^{2} - 36$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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