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mixer [17]
3 years ago
7

PLS HELP!!! NO WORK NEEDED!! Factor 27− 1/125 x^3

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

The answer is (3 - 5x) (25x^2 + 15x + 9).

<u>Step-by-step explanation:</u>

27 - 1 / 125 x^3 is a difference of cubes.

Formula of a difference of a cube

a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})

    27 =  (3)^{3}  ⇒ a = 3

  125x^{3} = (5x)^{3} ⇒ b = 5x

⇒  27 - 1 / 125 x^3 = (3 - 5x) (3^2 + 15x + 25x^2)

                              = (3 - 5x) (25x^2 + 15x + 9)

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