Question

Factor completely: a^n+a^(n+1) 100 Points!

Answer 1

Answer:

$a^n(1 + a)$

Step-by-step explanation:

Step 1:  Separate the powers

$a^n+a^(^n^+^1^)$

$a^n+a^n*a^1$

$a^n(1 + a)$

Answer:  $a^n(1 + a)$

Answer 2

Answer:

• $a^n\left(1+a\right)$

Step-by-step explanation:

Considering the expression

$a^n+a^{\left(n+1\right)}$

Steps

$a^n+a^{n+1}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c$

$a^n+a^1a^n$

$\mathrm{Factor\:out\:common\:term\:}a^n$

$a^n\left(1+a\right)$

Therefore, factoring  $a^n+a^{\left(n+1\right)}$ will bring $a^n\left(1+a\right)$.

Keywords: factor, expression

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