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Daniel [21]
3 years ago
15

Which expression is a sum of cubes?

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

It's C, 27x^9+y6

hope this helps!

taurus [48]3 years ago
5 0

We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.

We know that sum of cubes is in form a^3+b^3.

We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.

Let us check 3rd and 4th options one by one.

27x^9+y^6

We can rewrite our expression by writing terms as cubes:

3^3\cdot ( x^3)^3+(y^2)^3

( 3x^3)^3+(y^2)^3

Therefore, expression 27x^9+y^6 is a sum of cubes.

In 4th expression, we can see that 81=9^2=3^4. We cannot represent it as a cube. Similarly, we cannot represent y^{40} as a cube. Therefore, 4th expression is not correct.

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