Question

What is 64x12 – 1,000 written as a difference of cubes? (4x)3 – 103 (8x)3 – 1003 (4x4)3 – 103 (8x4)3 – 1003

Answer 1

The expression
`64x^(12) - 1000` is written as the difference of the cube is
`(4x^(4))^(3)-10^(3)` .

Explanation:

As given the expression is given in the question be as follow .

=
`64x^(12) - 1000`

As the values of
`64x^(12)` and 1000 can be written as

`64x^(12) = (4x^(4))^(3)`

1000 = 10³

Thus the expression
`64x^(12) - 1000` can be written as

`64x^(12) - 1000=(4x^(4))^(3)-10^(3)`

Therefore the expression
`64x^(12) - 1000` is written as the difference of the cube is
`(4x^(4))^(3)-10^(3)` .

Answer 2

We have to choose the correct answer and to show what is 64 x^12 - 1,000 written as a difference of cubes.
64 = 4^3
x^12 = ( x^4 )^3
1,000 = 10^3
Finally:
64 x^12 - 1,000 = ( 4 x^4 )^3 - 10^3
Answer:
C ) ( 4 x^4 )^3 - 10^3