Algebra Examples

$x^{2} \cdot 10 x + 24$

Step 1

Factor $2$ out of $x^{2} \cdot (10 x) + 24$ .

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Step 1.1

Factor $2$ out of $x^{2} \cdot (10 x)$ .

$2 (x^{2} \cdot (5 x)) + 24$

Step 1.2

Factor $2$ out of $24$ .

$2 (x^{2} \cdot (5 x)) + 2 (12)$

Step 1.3

Factor $2$ out of $2 (x^{2} \cdot (5 x)) + 2 (12)$ .

$2 (x^{2} \cdot (5 x) + 12)$

Step 2

Rewrite using the commutative property of multiplication.

$2 (5 x^{2} x + 12)$

Step 3

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

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Step 3.1

Move $x$ .

$2 (5 (x \cdot x^{2}) + 12)$

Step 3.2

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

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Step 3.2.1

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

$2 (5 (x^{1} x^{2}) + 12)$

Step 3.2.2

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

$2 (5 x^{1 + 2} + 12)$

Step 3.3

Add $1$ and $2$ .

$2 (5 x^{3} + 12)$