True or false the expression below is a sum of cubes 216x^3+64?

Question

Mathematics

Lewis Hayes

4 May, 01:57

True or false the expression below is a sum of cubes 216x^3+64?

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Answers (1)

Know the Answer?

Leslie Roman · Answer 1

True

Step-by-step explanation:

The sum of cubes a^ 3 + b^ 3 = (a + b) (a ^2 - a b + b^ 2)

We need to determine if 216x^3 is a cube and 64 is a cube

216 = 6*6*6

216 x^3 = (6x) ^3

and 64 = 4*4*4 = 4^3

So 216x^3 + 64 = (6x) ^3 + 4^3