Answer:
[tex]\left(x+n\right)^2=(x+n)(x+n)[/tex]
Step-by-step explanation:
[tex]\:x^2+\:2xn+n^2[/tex]
[tex]\mathrm{Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2[/tex]
[tex]\left(x+n\right)^2=(x+n)(x+n)[/tex]
The factors are (x + n)(x + n)
x² + 2xn + n²
Now let's factor it
x² + 2xn + n²
2xn = xn + xn
Therefore,
x² + xn + xn + n²
x(x + n) + n(x + n)
(x + n)(x + n)
(x + n)²
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