How do you expand Double Brackets?

For this we will use the FOIL Method. This stands for Front, Outside, Inside, Last. This helps us to check that we have multipled everything. For example, lets use (x+1)(2x+3): Multiply the first terms: x2x = 2x^2 Multiply the Outside Terms: x3 = 3x Multiply the Inside Terms: 12x = 2x Finally Multiply the Last terms: 13 = 3 Then add each of these terms you have worked out: 2x^2 + 3x + 2x + 3 This simplifies to 2x^2 + 5x + 3 Lets try a different example together, such as (3x + 2)(4x -1)