Question

3p- 2c^3- 3c^3p +2 Write as a product

Answer 1

`(3p + 2) (1 - c)(1 + c + {c}^(2) )`

Explanation:

`3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^(3) p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^(2) )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^(2) )}}`