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

1 Answer
Dec 28, 2016

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 :)