multiply polynomials

Question

multiply (2m-4)(m^2+2m+4)

Answer 1

Apply the Distributive Property:

 

(2m-4)(m²+2m+4)

 

= 2m*m² + 2m*2m + 2m*4 + (-4)*m² + (-4)*2m + (-4)*4

 

= 2m³ + 4m² + 8m - 4m² - 8m - 16

 

Now combine like terms:

 

= 2m³ - 16