Basic Math Examples

${(s - 1)}^{2} + 1$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(s - 1)}^{2}$ as $(s - 1) (s - 1)$ .

$(s - 1) (s - 1) + 1$

Step 1.2

Expand $(s - 1) (s - 1)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$s (s - 1) - 1 (s - 1) + 1$

Step 1.2.2

Apply the distributive property.

$s \cdot s + s \cdot - 1 - 1 (s - 1) + 1$

Step 1.2.3

Apply the distributive property.

$s \cdot s + s \cdot - 1 - 1 s - 1 \cdot - 1 + 1$

$s \cdot s + s \cdot - 1 - 1 s - 1 \cdot - 1 + 1$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $s$ by $s$ .

$s^{2} + s \cdot - 1 - 1 s - 1 \cdot - 1 + 1$

Step 1.3.1.2

Move $- 1$ to the left of $s$ .

$s^{2} - 1 \cdot s - 1 s - 1 \cdot - 1 + 1$

Step 1.3.1.3

Rewrite $- 1 s$ as $- s$ .

$s^{2} - s - 1 s - 1 \cdot - 1 + 1$

Step 1.3.1.4

Rewrite $- 1 s$ as $- s$ .

$s^{2} - s - s - 1 \cdot - 1 + 1$

Step 1.3.1.5

Multiply $- 1$ by $- 1$ .

$s^{2} - s - s + 1 + 1$

$s^{2} - s - s + 1 + 1$

Step 1.3.2

Subtract $s$ from $- s$ .

$s^{2} - 2 s + 1 + 1$

$s^{2} - 2 s + 1 + 1$

$s^{2} - 2 s + 1 + 1$

Step 2

Add $1$ and $1$ .

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

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