Basic Math Examples

(b - 9) (b + 9)

$(b - 9) (b + 9)$

Step 1

Expand

(b - 9) (b + 9)

$(b - 9) (b + 9)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

b (b + 9) - 9 (b + 9)

$b (b + 9) - 9 (b + 9)$

Step 1.2

Apply the distributive property.

b \cdot b + b \cdot 9 - 9 (b + 9)

$b \cdot b + b \cdot 9 - 9 (b + 9)$

Step 1.3

Apply the distributive property.

b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9

$b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9$

b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9

$b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9

$b \cdot b + b \cdot 9 - 9 b - 9 \cdot 9$ .

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Step 2.1.1

Reorder the factors in the terms

b \cdot 9

$b \cdot 9$ and

- 9 b

$- 9 b$ .

b \cdot b + 9 b - 9 b - 9 \cdot 9

$b \cdot b + 9 b - 9 b - 9 \cdot 9$

Step 2.1.2

Subtract

9 b

$9 b$ from

9 b

$9 b$ .

b \cdot b + 0 - 9 \cdot 9

$b \cdot b + 0 - 9 \cdot 9$

Step 2.1.3

Add

b \cdot b

$b \cdot b$ and

0

$0$ .

b \cdot b - 9 \cdot 9

$b \cdot b - 9 \cdot 9$

b \cdot b - 9 \cdot 9

$b \cdot b - 9 \cdot 9$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

b

$b$ by

b

$b$ .

b^{2} - 9 \cdot 9

$b^{2} - 9 \cdot 9$

Step 2.2.2

Multiply

- 9

$- 9$ by

9

$9$ .

b^{2} - 81

$b^{2} - 81$

b^{2} - 81

$b^{2} - 81$

b^{2} - 81

$b^{2} - 81$

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

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