What is n^+8n+16 in factored form

factored form: (n + 4)²

Solving for n: n = -4

Step-by-step explanation:

n² + 8n + 16

To solve this, simplify. Note that the factors of n² & 16, when combined, must equal 8n. Find factors of 16:

Factors of 16:

1, 2, 4, 8, 16

Use the factor 4:

n² + 8n + 16

n              4

n              4

(n + 4)(n +4) = (n + 4)² is your factored form.

If you need to, solve for n. Take one of the parenthesis, and set it equal to 0:

(n + 4) = 0

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides:

n + 4 (-4) = 0 (-4)

n = 0 - 4

n = -4

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