Which expression is equivalent to 64x^3-343

Mathematics

1 answer:

In-s [12.5K]2 years ago

4 0

Answer:

B: (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3. This is the difference of two cubes. The appropriate formula for factoring such is

a^3 - b^3 = (a - b)(a^2 + ab + b^2). Therefore,

our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49). This is Answer B.

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