Algebra Examples

$x^{2} \cdot (16 x) + 64$

Step 1

Factor $16$ out of $x^{2} \cdot (16 x) + 64$ .

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Step 1.1

Factor $16$ out of $x^{2} \cdot (16 x)$ .

$16 (x^{2} \cdot (x)) + 64$

Step 1.2

Factor $16$ out of $64$ .

$16 (x^{2} \cdot (x)) + 16 \cdot 4$

Step 1.3

Factor $16$ out of $16 (x^{2} \cdot (x)) + 16 \cdot 4$ .

$16 (x^{2} \cdot (x) + 4)$

Step 2

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

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Step 2.1

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

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Step 2.1.1

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

$16 (x^{2} \cdot x^{1} + 4)$

Step 2.1.2

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

$16 (x^{2 + 1} + 4)$

Step 2.2

Add $2$ and $1$ .

$16 (x^{3} + 4)$