Quandaries
and Queries 

Simplify: 3x (x^{2} + 2) (x + 2) (x + 3) I need help on these, learning how to set them up step by step to get a answer :) Thank you so much. Tiff 

Hi Tiff, The first problem is to exand 3x times (x^{2} + 2). When you multiply an algebraic quantity times the sum of two other quantities you need to multiply the first quantity by each of the other two and then add them. That is to multiply 3x times (x^{2} + 2) you need to multiply 3x times x^{2} and 3x times 2 and then add. Algebraically this is (I an going to use for multiplication)
x times x^{2} is x^{3} and 3 times 2 is 6 so this simplifies to
The second problem is also an algebraic quantity (x+2) times the sum of two other quantities x and 3. Thus
But this can be written
Expand these two expressions the same way and then collect like terms. Penny 

