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Enter the correct answer in the box.

What is the factored form of this expression?

64x^3 - 125

Write all factors in standard form.

Enter the correct answer in the box What is the factored form of this expression 64x3 125 Write all factors in standard form class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)

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