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yaroslaw [1]
3 years ago
6

Factor trinomial x^2n+10x^n+16​

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

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