Expand and simplify 4x(x+3) - (2x-3)2
When dealing with such a question, an expansion question, the first part of the equation to look at is the brackets.Looking at the question above, one can see that there are two pairs of brackets - it would be only be plausible to start with the first set.If you are trying to expand a bracket that has another value, in this case 4x, on its outside, you would have to multiply this value with both the values in the brackets.Eg. 4x x x = 4x24x x 3 = 12xThis would result in one having an answer of 4x2 + 12x.Next, one would have to deal with the second set of brackets. However, it is important to note that there is a minus sign in front of the bracket but we will leave that to the side for now. You would use the same technique I outlined earlier to expand these brackets even though the outer value e.g. 2 is on the right side of the brackets. 2x x 2 = 4x(-3) x 2 = -6This would result in one having an answer of 4x - 6.Now it is time to take into account the minus sign - here, one essentially only has to multiply the second expanded bracket by -1.(4x - 6) x -1= -4x + 6All this does is essentially reverse the positive or negative value of each integer.Lastly all one has to do to complete the question is to combine both of your final answers and simplify the solution by collecting like terms.(4x2 + 12x) + (-4x + 6)= 4x2 + 12x - 4x + 6= 4x2 + 8x + 6
