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

Use the FOIL method to remember which components you need to multiply together. F= First two, O= Outside two, I= Inside two, L= Last two. Then add your answers together and collect like terms to simplify.

In this case, multiplying the First two components together (x and x) gives x². Mulitplying the Outisde two components together (x and 3) gives 3x. Multiplying the Inside two components together (2 and x) gives 2x and multiplying the Last two components together (2 and 3) gives 6. Adding all this together gives x²+3x+2x+6. 3x and 2x can be added together to give 5x so this simplifies to x²+5x+6 which is the answer.