Math Insight

Simplifying expressions

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  1. Simplify $- 4 a^{3} + 4 a^{2} \left(a^{3} - 4 a\right)$.

  2. Simplify $3 c \left(4 c + 1\right) - 3 c^{2} \left(- c^{2} + 5\right)$.

  3. Simplify $-2 \left(- 4 x^{2} + 5\right) + 3 \left(- x^{2} + 1\right)$.

  4. Simplify $3 a \left(- 4 a - 4\right) + a^{2}$.

  5. Simplify $\left(- 2 a - 2\right) \left(a - 5\right) + \left(4 a - 2\right) \left(- 4 a^{2} + 5\right)$.

  6. Simplify $1 \left(2 y^{3} - 1\right) - 5 \left(5 y^{3} + 4\right)$.

  7. Simplify $\left(3 y + 3\right) \left(- y^{3} - 3\right) + \left(- 2 y + 3\right) \left(- 5 y^{3} - 3\right)$.

  8. Simplify $3 x^{3} \left(- 3 x - 4\right) - 2 x^{2} \left(- 5 x - 3\right)$.