Factor completely $$ v^{4}+v^{3}+2 v^{2}+2 v $$

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Factor the expression $$ v^{4}+v^{3}+2v^{2}+2v $$.
Factor the expression by following steps:
- step0: Factor:
  $$v^{4}+v^{3}+2v^{2}+2v$$
- step1: Evaluate:
  $$v^{4}+2v^{2}+v^{3}+2v$$
- step2: Rewrite the expression:
  $$v	imes v^{3}+v	imes 2v+v	imes v^{2}+v	imes 2$$
- step3: Factor the expression:
  $$v\left(v^{3}+2v+v^{2}+2ight)$$
- step4: Factor the expression:
  $$v\left(v+1ight)\left(v^{2}+2ight)$$
The factored form of $$ v^{4}+v^{3}+2v^{2}+2v $$ is $$ v(v+1)(v^{2}+2) $$.
$$ v(v+1)(v^{2}+2) $$

Factor completely

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