how do you find the product of 3n(n2-5n+2)

Question

^3n(n2-5n+2)

Answer 1

Step 1: Start by distributing the 3n into the parentheses.

 

3n(n2-5n+2) ==> (3n)(n2) - (3n)(5n) + (3n)(2)

 

Step 2: After you distribute the 3n, simplify each value left in the equation

 

(3n)(n2) = 3n3

-(3n)(5n) = -15n2

(3n)(2) = 6n

 

 

Step 3: You can further simplify the equation by looking for coefficients that are multiples and "pull" them out of each term.

 

3n^3 -15n2 +6n ==> 3(n^3 -5n2 + 2n)