How do you expand and simplify #(2x-3) (3x+4)#?

1 Answer
Dec 28, 2016

Answer:

The expanded and simplified version of #(2x-3)(3x+4)# is #6x^2-x-12#.

Explanation:

Expanding

A good way to memorize the order of expanding is through the acronym: FOIL -> First, outside, inside, last. This is useful for binomial expressions.

#(2x-3)(3x+4)#
#=6x^2+8x-9x-12#
#=6x^2-x-12#

Simplifying means to combine like terms, and I've already done that when expanding.

Therefore, the expanded and simplified version of #(2x-3)(3x+4)# is #6x^2-x-12#.

Hope this helps :)