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

Respuesta :

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:

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

Step-by-step explanation:

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

= [tex]64x^{12} - 1000[/tex]

As the values of [tex]64x^{12}[/tex] and 1000 can be written as

[tex]64x^{12} = (4x^{4})^{3}[/tex]

1000 = 10³

Thus the expression  [tex]64x^{12} - 1000[/tex] can be written as

[tex]64x^{12} - 1000=(4x^{4})^{3}-10^{3}[/tex]

Therefore the expression [tex]64x^{12} - 1000[/tex] is written as the difference of the cube is  [tex](4x^{4})^{3}-10^{3}[/tex] .