Factor completely $$ 5 g^{4}-3 g^{3}+25 g^{2}-15 g $$ $$ \square $$

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Factor the expression $$ 5g^{4}-3g^{3}+25g^{2}-15g $$.
Factor the expression by following steps:
- step0: Factor:
  $$5g^{4}-3g^{3}+25g^{2}-15g$$
- step1: Evaluate:
  $$5g^{4}+25g^{2}-3g^{3}-15g$$
- step2: Rewrite the expression:
  $$g	imes 5g^{3}+g	imes 25g-g	imes 3g^{2}-g	imes 15$$
- step3: Factor the expression:
  $$g\left(5g^{3}+25g-3g^{2}-15ight)$$
- step4: Factor the expression:
  $$g\left(5g-3ight)\left(g^{2}+5ight)$$
The factored form of the expression $$5g^{4}-3g^{3}+25g^{2}-15g$$ is $$g(5g-3)(g^{2}+5)$$.
The expression $$5g^{4}-3g^{3}+25g^{2}-15g$$ factors to $$g(5g-3)(g^{2}+5)$$.

Factor completely

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