Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2xy + 2yz + 2xz Suppose we do the same to the product (v + w + x + y + z)25 (a) What is the coefficient of the term v9w2x5y7z2? (b) How many different terms are there? (Two terms are the same if the degree of each variable is the same.)

Part a: The coefficient of is

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

So the coefficient of any term is given as  

Similarly for the generic equation of coefficient of the term in the equation of form is given as  

So now the coefficient of  is given as

The coefficient of is

Part b:

The number of terms is given as

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

So the number of terms are 23751.

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.