Question
The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .
Hint:
where a and b can be real values, variables or multiples of both. We are asked to write the area of the rectangle as the sum of cubes
The correct answer is: A = lw
Step 1 of 2:
The length of the rectangle is: 
The width of the rectangle is: (x + 3)
Thus, the area of the rectangle is:
Step 2 of 2:
Analyze the area of the rectangle, we get:
, where 
.
Thus, the sum of cubes are of the form 
.
Step 2 of 2:
Analyze the area of the rectangle, we get:
, where .Thus, the sum of cubes are of the form
.The area of a rectangle with length l and width w is A = lw
Related Questions to study
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 ?
The volume of a cuboid with side length a is, V = a3.
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 ?
The volume of a cuboid with side length a is, V = a3.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
The expansion of (x + y)n can be also found using the Pascal’s triangle using the (n+1)th row of the triangle.
Use the binomial theorem to expand the expressions:
The expansion of (x + y)n can be also found using the Pascal’s triangle using the (n+1)th row of the triangle.
Use the binomial theorem to expand the expressions: 
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.
Use the binomial theorem to expand the expressions:
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.
Use the binomial theorem to expand the expressions: 
The answer can also be found using the Pascal’s triangle (using the fourth row).
Use the binomial theorem to expand the expressions:
The answer can also be found using the Pascal’s triangle (using the fourth row).
Use polynomial identities to factor the polynomials or simplify the expressions : 
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to factor the polynomials or simplify the expressions :
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to factor the polynomials or simplify the expressions :
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to factor the polynomials or simplify the expressions :
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
