Question

Which are sums of perfect cubes? Check all that apply.

Answer 1

Answer:

Option A, B, D, E are the sums of perfect cubes

Step-by-step explanation:

Given some choices we have to select the option which are the sums of perfect cubes.

Option A: $8x^6+27$

$8x^6+27$

⇒ $(2x^2)^3+(3)^3$

which is the sum of perfect cube.

Option B: $x^9+1$

$x^9+1$

⇒ $(x^3)^3+(1)^3$

which is the sum of perfect cube.

Option C: $81x^3+16x^6$

$81x^3+16x^6$

⇒ $9^2x^3+4^2(x^2)^3$

which is not the sum of perfect cube.

Option D: $x^6+x^3$

$x^6+x^3$

⇒ $(x^2)^3+x^3$

which is the sum of perfect cube.

Option E: $27x^9+x^{12}$

$27x^9+x^{12}$

⇒ $(3x^3)^3+(x^4)^3$

which is the sum of perfect cube.

Option F: $9x^3+27x^9$

⇒ $3^2x^3+(3x^3)^3$

which is not the sum of perfect cube.

Option A, B, D, E are the sums of perfect cubes

     

Answer 2

answer

a b d e

hope that helped :)