Basic Math Examples

{(s - 2)}^{2}

${(s - 2)}^{2}$

Step 1

Rewrite

{(s - 2)}^{2}

${(s - 2)}^{2}$ as

(s - 2) (s - 2)

$(s - 2) (s - 2)$ .

(s - 2) (s - 2)

$(s - 2) (s - 2)$

Step 2

Expand

(s - 2) (s - 2)

$(s - 2) (s - 2)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

s (s - 2) - 2 (s - 2)

$s (s - 2) - 2 (s - 2)$

Step 2.2

Apply the distributive property.

s \cdot s + s \cdot - 2 - 2 (s - 2)

$s \cdot s + s \cdot - 2 - 2 (s - 2)$

Step 2.3

Apply the distributive property.

s \cdot s + s \cdot - 2 - 2 s - 2 \cdot - 2

$s \cdot s + s \cdot - 2 - 2 s - 2 \cdot - 2$

s \cdot s + s \cdot - 2 - 2 s - 2 \cdot - 2

$s \cdot s + s \cdot - 2 - 2 s - 2 \cdot - 2$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply

s

$s$ by

s

$s$ .

s^{2} + s \cdot - 2 - 2 s - 2 \cdot - 2

$s^{2} + s \cdot - 2 - 2 s - 2 \cdot - 2$

Step 3.1.2

Move

- 2

$- 2$ to the left of

s

$s$ .

s^{2} - 2 \cdot s - 2 s - 2 \cdot - 2

$s^{2} - 2 \cdot s - 2 s - 2 \cdot - 2$

Step 3.1.3

Multiply

- 2

$- 2$ by

- 2

$- 2$ .

s^{2} - 2 s - 2 s + 4

$s^{2} - 2 s - 2 s + 4$

s^{2} - 2 s - 2 s + 4

$s^{2} - 2 s - 2 s + 4$

Step 3.2

Subtract

2 s

$2 s$ from

- 2 s

$- 2 s$ .

s^{2} - 4 s + 4

$s^{2} - 4 s + 4$

s^{2} - 4 s + 4

$s^{2} - 4 s + 4$

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

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