SOLUTION: 2 equations I am struggling with, can you help? Perform the indicated operation: w(w+5)(w+9) Application Question: Shrinking garden. Rose's garden is a square with

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Question 971145: 2 equations I am struggling with, can you help?
Perform the indicated operation:
w(w+5)(w+9)
Application Question:
Shrinking garden. Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. Find a polynomial A(x) that represents the new area.
Found 2 solutions by Boreal, josh_jordan:
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
the first is to foil out the two and then multiply by w
(w^2 + 14 w + 45)w
w^3 + 14 w^2 +45w
The new garden has dimensions of (x-5) and (x+5) feet
Its area is x^2-25 sq ft. (the area will be less than the original)

Answer by josh_jordan(263) (Show Source):
You can put this solution on YOUR website!
1) w(w + 5)(w + 9)
First thing to do is expand (w + 5)(w + 9) by doing the FOIL method. This will give us:

The last step is to multiply the w that's left by : . This gives us our final answer:

2. The area of a rectangle is: Area = Length x Width

So, the first side (the length) will be x + 5, since she's adding 5 feet to the length. The second side (the width) will be x - 5, since she's reducing the width by 5. So, the area of Rose's garden can be expressed as (x + 5)(x - 5). As a polynomial this can be expressed as: