Algebra Examples

$y = x (x^{2} - 5)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 2

Apply the distributive property.

$y = x \cdot x^{2} + x \cdot - 5$

Step 3

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 3.1

Multiply $x$ by $x^{2}$ .

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Step 3.1.1

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

$y = x \cdot x^{2} + x \cdot - 5$

Step 3.1.2

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

$y = x^{1 + 2} + x \cdot - 5$

Step 3.2

Add $1$ and $2$ .

$y = x^{3} + x \cdot - 5$

Step 4

Move $- 5$ to the left of $x$ .

$y = x^{3} - 5 x$

Step 5