Use distributive property to find (x⁴ - 3x³ + 3x² - 3x + 6) (x - 2).

Distributive Property Formula is given by a × (b + c) = a × b + a × c

Solution:

Distributive Property Formula is given by a × (b + c) = a × b + a × c

(x⁴ - 3x³ + 3x² - 3x + 6) (x - 2) = x × (x⁴ - 3x³ + 3x² - 3x + 6) - 2 × (x⁴ - 3x³ + 3x² - 3x + 6)

= x⁵ - 3x⁴ + 3x³ - 3x² + 6x - 2x⁴ + 6x³ - 6x²  + 6x - 12

= x⁵ - 5x⁴ + 9x³ - 9x² + 12x - 12

Thus, using the distributive property of multiplication, we get (x⁴ - 3x³ + 3x² - 3x + 6) (x - 2) = x⁵ - 5x⁴ + 9x³ - 9x² + 12x - 12

Use distributive property to find (x⁴ - 3x³ + 3x² - 3x + 6) (x - 2).

Summary:

Using distributive property we get (x⁴ - 3x³ + 3x² - 3x + 6)(x - 2) = x⁵ - 5x⁴ + 9x³ - 9x² + 12x - 12.