Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, Last and gives the order we need to multiply the terms. So the First terms in each bracket, 2x and 2x, multiplied together give 4x² . The outside terms, 2x and 5, gives 10x. The inside terms, 3 and 2x, gives 6x. And, finally, the last terms, 3 and 5, gives 15. This can be simplified because 10x and 6x are of the same order and can be added together. This means the answer is 4x²+16x+15.