Factor 5n^2+10n+20

$5 n^{2} + 10 n + 20$

Step 1

Factor $5$ out of $5 n^{2}$ .

$5 (n^{2}) + 10 n + 20$

Step 2

Factor $5$ out of $10 n$ .

$5 (n^{2}) + 5 (2 n) + 20$

Step 3

Factor $5$ out of $20$ .

$5 n^{2} + 5 (2 n) + 5 \cdot 4$

Step 4

Factor $5$ out of $5 n^{2} + 5 (2 n)$ .

$5 (n^{2} + 2 n) + 5 \cdot 4$

Step 5

Factor $5$ out of $5 (n^{2} + 2 n) + 5 \cdot 4$ .

$5 (n^{2} + 2 n + 4)$

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