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

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

Answer 2

Answer:

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

Step-by-step 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  $(4x^{4})^{3}-10^{3}$ .