Maths-
General
Easy
Question
The dimensions of a rectangle are shown. Write the area of the rectangle as a sum of cubes .

The correct answer is: Thus, the sum of cubes are of the form x^3 + 3^3.
ANSWER:
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
Step 1 of 2:
The length of the rectangle is: x2- 3x + 9
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:

Thus, the sum of cubes are of the form x3 + 33
Note:
The area of a rectangle with length l and width w is A = lw.
Related Questions to study
Maths-
Use Pascal triangle to expand the expression
.
Use Pascal triangle to expand the expression
.
Maths-General
Maths-
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 ?
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 ?
Maths-General
Maths-
Use Pascal’s triangle to expand the expression 
Use Pascal’s triangle to expand the expression 
Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
Maths-
Find the third term of the binomial expansion
.
Find the third term of the binomial expansion
.
Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
Maths-
Find the fifth term of the binomial expansion
.
Find the fifth term of the binomial expansion
.
Maths-General
Maths-
Use polynomial identities to factor each polynomial :

Use polynomial identities to factor each polynomial :

Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
Maths-
Use polynomial identities to factor each polynomial :

Use polynomial identities to factor each polynomial :

Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
Maths-
Use polynomial identities to factor each polynomial :

Use polynomial identities to factor each polynomial :

Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General
Maths-
Use polynomial identities to multiply each expression
.
Use polynomial identities to multiply each expression
.
Maths-General
Maths-
Use the binomial theorem to expand the expressions:

Use the binomial theorem to expand the expressions:

Maths-General