Expand and simplify (x-2)(2x+3)(x+1)

To simply this expression means to write this same expression in its lowest terms. The first step we need to do is expand two of these brackets, we will start with the bracket in the middle and the last bracket. Doing this gives, (x-2)(2x+3)(x+1)=(x-2)(2x^2+2x+3x+3)we can collect like terms to simplify the second bracket: (x-2)(2x^2+2x+3x+3)=(x-2)(2x^2+5x+3). Now we can expand these two brackets, this gives (x-2)(2x^2+5x+3)=2x^3+5x^2+3x-4x^2-10x-6We can now simplify this expression by collecting like terms: 2x^3+5x^2+3x-4x^2-10x-6=2x^3+x^2-7x-6.Therefore, through expanding and collecting like terms we can see that (x-2)(2x+3)(x+1)=2x^3+x^2-7x-6.