Precalculus Examples

$x^{2} + 2 x (5 x (x))$

Step 1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.1

Move $x$ .

$x^{2} + 2 (x \cdot x) (5 (x))$

Step 1.2

Multiply $x$ by $x$ .

$x^{2} + 2 x^{2} (5 (x))$

Step 2

Rewrite using the commutative property of multiplication.

$x^{2} + 2 \cdot 5 x^{2} x$

Step 3

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

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Step 3.1

Move $x$ .

$x^{2} + 2 \cdot 5 (x \cdot x^{2})$

Step 3.2

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

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Step 3.2.1

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

$x^{2} + 2 \cdot 5 (x^{1} x^{2})$

Step 3.2.2

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

$x^{2} + 2 \cdot 5 x^{1 + 2}$

Step 3.3

Add $1$ and $2$ .

$x^{2} + 2 \cdot 5 x^{3}$

Step 4

Multiply $2$ by $5$ .

$x^{2} + 10 x^{3}$