Simplify Algebra

Question

Simplify: (y2 + 4y - 2) (2y3 - 4y2 + 8y + 2)

 

i have to show my work

Answer 1

Use the distributive property:

 

(y² + 4y - 2)(2y³ - 4y² + 8y + 2) = (y² + 4y - 2)(2y³) - (y² + 4y - 2)(4y²) + (y² + 4y - 2)(8y) + (y² + 4y - 2)(2)

 

     = 2y⁵ + 8y⁴ - 4y³ - 4y⁴ - 16y³ + 8y² + 8y³ + 32y² - 16y + 2y² + 8y - 4

 

     = 2y⁵ + 4y⁴ - 12y³ + 42y² - 8y - 4 .