Precalculus Examples

$(x^{2} \cdot (3 x) - 2) (3)$

Step 1

Simplify each term.

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Step 1.1

Rewrite using the commutative property of multiplication.

$(3 x^{2} x - 2) \cdot 3$

Step 1.2

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

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Step 1.2.1

Move $x$ .

$(3 (x \cdot x^{2}) - 2) \cdot 3$

Step 1.2.2

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

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Step 1.2.2.1

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

$(3 (x^{1} x^{2}) - 2) \cdot 3$

Step 1.2.2.2

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

$(3 x^{1 + 2} - 2) \cdot 3$

Step 1.2.3

Add $1$ and $2$ .

$(3 x^{3} - 2) \cdot 3$

Step 2

Simplify by multiplying through.

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Step 2.1

Apply the distributive property.

$3 x^{3} \cdot 3 - 2 \cdot 3$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3$ by $3$ .

$9 x^{3} - 2 \cdot 3$

Step 2.2.2

Multiply $- 2$ by $3$ .

$9 x^{3} - 6$