How do you simplify #(2x + 1) ( 3x ^ { 2} - 2x - 5#)?
1 Answer
Nov 3, 2016
Explanation:
We must ensure that each term in the second bracket is multiplied by each term in the first bracket. This can be achieved as follows.
#(color(red)(2x+1))(3x^2-2x-5)#
#=color(red)(2x)(3x^2-2x-5)color(red)(+1)(3x^2-2x-5)# distribute the brackets.
#6x^3-4x^2-10x+3x^2-2x-5# collect like terms.
#6x^3+(-4x^2+3x^2)+(-10x-2x)-5#
#=6x^3+(-x^2)+(-12x)-5#
#=6x^3-x^2-12x-5#
