1) $$ \left(2 c^{3}+3\right)\left(3 c^{2}-1\right) $$

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Expand the expression $$ (2c^3+3)(3c^2-1) $$
Simplify the expression by following steps:
- step0: Multiply the terms:
  $$\left(2c^{3}+3ight)\left(3c^{2}-1ight)$$
- step1: Apply the distributive property:
  $$2c^{3}	imes 3c^{2}-2c^{3}	imes 1+3	imes 3c^{2}-3	imes 1$$
- step2: Multiply the terms:
  $$6c^{5}-2c^{3}+9c^{2}-3$$
Expanding the expression $$ (2c^3+3)(3c^2-1) $$ gives us $$ 6c^{5}-2c^{3}+9c^{2}-3 $$.
$$ 6c^{5}-2c^{3}+9c^{2}-3 $$

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