Basic Math Examples

$28 n^{4} + 16 n^{3} \cdot (80 n^{2})$

Step 1

Factor $4 n^{3}$ out of $28 n^{4} + 16 n^{3} \cdot (80 n^{2})$ .

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Step 1.1

Factor $4 n^{3}$ out of $28 n^{4}$ .

$4 n^{3} (7 n) + 16 n^{3} \cdot (80 n^{2})$

Step 1.2

Factor $4 n^{3}$ out of $16 n^{3} \cdot (80 n^{2})$ .

$4 n^{3} (7 n) + 4 n^{3} (4 \cdot (80 n^{2}))$

Step 1.3

Factor $4 n^{3}$ out of $4 n^{3} (7 n) + 4 n^{3} (4 \cdot (80 n^{2}))$ .

$4 n^{3} (7 n + 4 \cdot (80 n^{2}))$

Step 2

Multiply $80$ by $4$ .

$4 n^{3} (7 n + 320 \cdot n^{2})$

Step 3

Factor $n$ out of $7 n + 320 \cdot n^{2}$ .

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Step 3.1

Factor $n$ out of $7 n$ .

$4 n^{3} (n \cdot 7 + 320 \cdot n^{2})$

Step 3.2

Factor $n$ out of $320 \cdot n^{2}$ .

$4 n^{3} (n \cdot 7 + n (320 \cdot n))$

Step 3.3

Factor $n$ out of $n \cdot 7 + n (320 \cdot n)$ .

$4 n^{3} (n (7 + 320 \cdot n))$

$4 n^{3} (n (7 + 320 n))$

Step 4

Remove unnecessary parentheses.

$4 n^{3} n (7 + 320 n)$

Step 5

Combine exponents.

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Step 5.1

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

$4 (n^{1} n^{3}) (7 + 320 n)$

Step 5.2

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

$4 n^{1 + 3} (7 + 320 n)$

Step 5.3

Add $1$ and $3$ .

$4 n^{4} (7 + 320 n)$