Question

Factor trinomial x^2n+10x^n+16​

Answer 1

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

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)`