What is the product of [ #(1/2y^2-1/3y)##(12y+3/5)# ]? Express as a trinomial.

1 Answer
Mar 30, 2018

B.

Explanation:

Use F.O.I.L:

http://krismath.org/vocabulary_def.htm

Given:
#(1/2y^2-1/3y)(12y+3/5)#

F: #1/2y^2*12y= 6y^3#
O: #1/2y^2*3/5= 3/10y^2#
I: #-1/3y*12y= -4y^2#
L: #-1/3y*3/5= -1/5y#

Combine like terms:
#6y^3 +3/10y^2-4y^2 -1/5y=#
#6y^3 +3/10y^2-40/10y^2 -1/5y=#
#6y^3 -37/10y^2 -1/5y=#