Question
A Medium sized Shipping box with side length s units has a volume of S3 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 ?
Hint:
The binomial expansion is 
.
We are asked to find the binomial expression for the volume of the large shipping box and its expansion.
The correct answer is: V = a3
Step 1 of 2:
The length of the medium size shipping box is s units. The volume of the box is S3 cubic units. The length of the large size shipping box is: (s+3)units. The box is cube, hence the volume is (s + 3)3 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:
The volume of a cuboid with side length a is, V = a3.
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The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
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The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n , we would consider the (n+1)th row in the triangle.
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The answer can also be found using the Pascal’s triangle. For the expansion of the expression (x + y)n, we would consider the (n+1)th row in the triangle.
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Use the binomial theorem to expand the expressions: 
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