Calculus Examples

$f (x) = \frac{1}{27} (x^{5} + 2 x^{3})$ $a = - 11$

Step 1

Replace the variable $a$ with $- 11$ in the expression.

$f (x) = \frac{1}{27} \cdot (x^{5} + 2 x^{3})$

Step 2

Simplify the result.

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Step 2.1

Apply the distributive property.

$f (x) = \frac{1}{27} x^{5} + \frac{1}{27} \cdot (2 x^{3})$

Step 2.2

Combine $\frac{1}{27}$ and $x^{5}$ .

$f (x) = \frac{x^{5}}{27} + \frac{1}{27} \cdot (2 x^{3})$

Step 2.3

Multiply $\frac{1}{27} (2 x^{3})$ .

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Step 2.3.1

Combine $2$ and $\frac{1}{27}$ .

$f (x) = \frac{x^{5}}{27} + \frac{2}{27} x^{3}$

Step 2.3.2

Combine $\frac{2}{27}$ and $x^{3}$ .

$f (x) = \frac{x^{5}}{27} + \frac{2 x^{3}}{27}$

Step 2.4

The final answer is $\frac{x^{5}}{27} + \frac{2 x^{3}}{27}$ .

$\frac{x^{5}}{27} + \frac{2 x^{3}}{27}$

Step 3