(a^ 2n - a ^n - 6) (a^ n + 8) divide polynomials solve

Question

(a^ 2n - a ^n - 6) (a^ n + 8) divide polynomials  solve

anonymous · Answer

help me please

anonymous · Answer

Divide what by what and solve for what?
I don't see a division symbol or an equals sign.

anonymous · Answer

(a^2n-a^n-6)/(a^n+8)

anonymous · Answer

So, find the quotient?
How are you at long division?

anonymous · Answer

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anonymous · Answer

I do not know but so is the question

anonymous · Answer

Ok, using the above picture and thinking in terms of long division, ask what do you have to multiply by a^n to get a^2n?

anonymous · Answer

yes

anonymous · Answer

do not know how you could help solve please

anonymous · Answer

Think about rules for exponents. When you multiply powers of the same base, you add the exponents; likewise, when you divide powers, subtract the exponents, so ...
$$\large \frac{a^{2n}}{a^n} = a^{2n-n} = a^n.$$
Does this make sense to you?

anonymous · Answer

a^n will be the first term in the quotient, so multiply that by the divisor and subtract to find the new dividend.

What is a^n × (a^n +8)?

anonymous · Answer

okey thanks

anonymous · Answer

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This is your next step.