Let p: It is raining. Let q: Robert is laughing. Assume p is true. Select two statements that must logically be true. a. p v q b. p^q c. q --> p d. p --> q e. q p

Part A:

So remember that GCF is Greatest Common Factor, or what the greatest number that divides nicely between terms. And if we look at this expression, we see that 4 is the GCF, but we see as well that all the terms have at least 1 m, therefore our GCF is 4m.

Using the GCF, our factored expression is: 4m[m^2 + 3xm - 2m - 6x]

Part B:

*We are starting off from our answer in Part A: 4m[m^2 + 3xm - 2m - 6x]

So firstly, you are factoring m^2 - 2m and 3xm - 6x separately. Make sure that what's inside the parentheses is the same for both factored parts:

4m[m(m - 2) + 3x(m - 2)]

Now you can rewrite this expression (thanks to distributive property) as 4m[(m + 3x)(m - 2)], which is your final answer.