Which of the following is a sum of cubes?
a)3x^3+8y^6
b)8x^3-27y^6
c)125x^6-9y^3
d)x^3+8y^6

D)

Step-by-step explanation:

We have been given four choices.

A)

B)

C)

D)

Now we need to find about which of the above choices is a sum of cubes.

Basically we need to check which one of the given choices can be represented in cubic form along with addition sign.

3 and 9 can't be written in cubic form unless we use radical numbers.

So the only choice left is D)

D)

which is clearly visible as sum of cubes.

The answer is:

D)

We are looking for the expression that can be obtained from a sum of cube factoring, the form of the sum of cubes will be:

The only option that matches with the sum of cubes form is the last option,

D)

and it can be rewritten as the following expression:

Therefore, we have that:

Hence, the correct answer is:

D)

Have a nice day!

your answer is d 2,500

step-by-step explanation: