scshao
scshao scshao
  • 21-02-2020
  • Mathematics
contestada

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

Respuesta :

bhuvna789456
bhuvna789456 bhuvna789456
  • 27-02-2020

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

Step-by-step explanation:

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

Formula of a difference of a cube

[tex]a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2})[/tex]

    27 =  [tex](3)^{3}[/tex]  ⇒ a = 3

  125[tex]x^{3}[/tex] = [tex](5x)^{3}[/tex] ⇒ b = 5x

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

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

Answer Link

Otras preguntas

Solve for r. -13= r/9 +8
How would I write this into a paragraph it’s for my final
l-15l __ l15l is it <> or =?
Write the equation of a line that has a slope of 7 and a y-intercept of -3. A) y = 7x - 3 B) y = -7x - 3 C) y = 7x + 3 D) y = -7x + 3
what are the answers
What was an unintended effect of the Writs of Assistance passed by Great Britain on the colonies after the French and Indian War? A) It discouraged the colonist
Find the product and simplify. 5/16 of 24/15
President kennedy makes frequent use of parallelism and antithesis in his inaugural address. How does parallesim and antithesis help him make his point
Yu has $20.28 and spends $2.80 on a hot dog. He lends half of his remaining money to a friend. How much money does Yu lend his friend?
Socialist and communist countries are alike because they both A. have many citizens who participate directly in the government. B. are governed by a represe