Factor out the GCF. Select "Prime" if the polynomial cannot be factored. $$ 10 a(a+2)+5 a^{2}(a+2)=\square $$

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Factor the expression $$ 10a(a+2)+5a^2(a+2) $$.
Factor the expression by following steps:
- step0: Factor:
  $$10a\left(a+2ight)+5a^{2}\left(a+2ight)$$
- step1: Rewrite the expression:
  $$5a\left(a+2ight)	imes 2+5a\left(a+2ight)a$$
- step2: Factor the expression:
  $$5a\left(a+2ight)\left(2+aight)$$
The factored form of the given expression $$10a(a+2)+5a^2(a+2)$$ is $$5a(a+2)(2+a)$$.
The factored form is $$5a(a+2)(2+a)$$.

Factor out the GCF. Select "Prime" if the polynomial cannot be factored. \( 10 a(a+2)+5 a^{2}(a+2)=\square \)

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