we know that
A polynomial in the form
is called a sum of cubes
so
Let's verify each case to determine the solution
<u>case A)</u> 
we know that




-------> is not a perfect cube

therefore
the case A) is not a sum of cubes
<u>case B)</u> 
we know that
-------> is not a perfect cube



-------> is not a perfect cube

therefore
the case B) is not a sum of cubes
<u>case C)</u> 
we know that
-------> is not a perfect cube




therefore
the case C) is not a sum of cubes
<u>case A)</u> 
we know that





Substitute


therefore
<u>the answer is</u>
is a sum of cubes
Answer:
B
Step-by-step explanation:
Basically, you can rule out all of the other answers by the following criteria:
A is wrong because any y= equation without an x is just a straight horizontal line
C is wrong because any x= equation is just a vertical line
D is wrong because both lines shown are positive lines, and both equations in answer D are negative
Therefore by process of elimination, the only answer that makes sense is B
For this case we have the following expression:

We must rewrite both sides of the equation.
For this, we use the distributive property.
We have then:

Adding similar terms we have:

We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Thus, the equation has infinite solutions.
Answer:
infinitely many