Algebra Examples

$x^{2} (2 x + 9)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$x^{2} (2 x) + x^{2} \cdot 9$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$2 x^{2} x + x^{2} \cdot 9$

Step 1.2.2

Move $9$ to the left of $x^{2}$ .

$2 x^{2} x + 9 \cdot x^{2}$

Step 2

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

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Step 2.1

Move $x$ .

$2 (x \cdot x^{2}) + 9 \cdot x^{2}$

Step 2.2

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

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Step 2.2.1

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

$2 (x^{1} x^{2}) + 9 \cdot x^{2}$

Step 2.2.2

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

$2 x^{1 + 2} + 9 \cdot x^{2}$

Step 2.3

Add $1$ and $2$ .

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

$2 x^{3} + 9 x^{2}$