Calculus Examples

$(x) (22 - 2 x) (22 - 2 x)$

Step 1

Factor.

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Step 1.1

Factor $2$ out of $22 - 2 x$ .

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Step 1.1.1

Factor $2$ out of $22$ .

$x (2 (11) - 2 x) (22 - 2 x)$

Step 1.1.2

Factor $2$ out of $- 2 x$ .

$x (2 (11) + 2 (- x)) (22 - 2 x)$

Step 1.1.3

Factor $2$ out of $2 (11) + 2 (- x)$ .

$x (2 (11 - x)) (22 - 2 x)$

$x (2 (11 - x)) (22 - 2 x)$

Step 1.2

Remove unnecessary parentheses.

$x \cdot 2 (11 - x) (22 - 2 x)$

$x \cdot 2 (11 - x) (22 - 2 x)$

Step 2

Factor.

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Step 2.1

Factor $2$ out of $22 - 2 x$ .

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Step 2.1.1

Factor $2$ out of $22$ .

$x \cdot 2 (11 - x) (2 (11) - 2 x)$

Step 2.1.2

Factor $2$ out of $- 2 x$ .

$x \cdot 2 (11 - x) (2 (11) + 2 (- x))$

Step 2.1.3

Factor $2$ out of $2 (11) + 2 (- x)$ .

$x \cdot 2 (11 - x) (2 (11 - x))$

$x \cdot 2 (11 - x) (2 (11 - x))$

Step 2.2

Remove unnecessary parentheses.

$x \cdot 2 (11 - x) \cdot 2 (11 - x)$

$x \cdot 2 (11 - x) \cdot 2 (11 - x)$

Step 3

Combine exponents.

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Step 3.1

Multiply $2$ by $2$ .

$x \cdot 4 (11 - x) (11 - x)$

Step 3.2

Raise $11 - x$ to the power of $1$ .

$x \cdot 4 ({(11 - x)}^{1} (11 - x))$

Step 3.3

Raise $11 - x$ to the power of $1$ .

$x \cdot 4 ({(11 - x)}^{1} {(11 - x)}^{1})$

Step 3.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x \cdot 4 {(11 - x)}^{1 + 1}$

Step 3.5

Add $1$ and $1$ .

$x \cdot 4 {(11 - x)}^{2}$

$x \cdot 4 {(11 - x)}^{2}$

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