Maths-
General
Easy
Question
A Medium sized Shipping box with side length s units has a volume of 
cubic units.
a. A Large shipping box has side lengths that are 3 units longer than the medium shipping box. Write a binomial expression for the volume of the large shipping box .
b. Expand the polynomial in part A to simplify the volume of the large shipping box ?
The correct answer is: s^3 + 9s^2 + 27s + 27
ANSWER:
Hint:
The binomial expansion is
,
We are asked to find the binomial expression for the volume of the large shipping box and its expansion.
Step 1 of 2:
The length of the medium size shipping box is s units.
The volume of the box is cubic units.
The length of the large size shipping box is: (s+3)units.
The box is cube, hence the volume is which is 
the required binomial expression.
Step 2 of 2:
The expression is (s+3)3 .Here, the number of terms are 3+1= 4. The values are 
.
Substituting the values in the binomial equation, we have:
Note:
The volume of a cuboid with side length a is, V = a3
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