Expand and simplify (3x + 2)(4x - 3).

Firstly, to expand the brackets, we can use the FOIL method to multiply them out.First - multiply the first numbers of each bracket. 3x * 4x = 12x^2Outer - multiply the outer numbers of each bracket. 3x * (-3) = -9xInner - multiply the inner numbers of each bracket. 2 * 4x = 8xLast - multiply the last numbers of each bracket. 2 * (-3) = -6After expanding, you are left with 12x^2 - 9x + 8x - 6. To simplify this, you collect like terms together (terms that have the same variable, e.g. x, or power, e.g. ^2): 12x^2 - x - 6