Expand (2x+3)(x-2)

There are many ways to answer this question but I will use the 'foil' method, where foil is an acronym for ensuring we don't forget any terms. F is for first, where we multiply the first terms in each bracket giving us 2xx=2x2 .O is for outside where we times together the two terms on the outside of the bracket, giving us 2x-2=-4x. I is for inside where we multiply the two terms on the inner sides of the brackets, giving us 3x=3x. L is the last where we multiply the last term in each bracket together giving us 3-2=-6. We can simplify the x terms: -4x+3x=-x
The full answer is 2x2 -x-6.

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