emilyjiang5
emilyjiang5 emilyjiang5
  • 08-01-2019
  • Mathematics
contestada

Write the expression as a polynomial: (b–c)(b2–bc–c2)(3y–4)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 17-01-2019

Answer:

 [tex]3b^3y-6b^2cy+3c^3y-4b^3+8b^2c-4c^3[/tex]

Step-by-step explanation:

The given expression is

[tex](b-c)(b^2-bc-c^2)(3y-4)[/tex].

We expand the first two parenthesis to get,

 [tex](b^3-2b^2c+c^3)(3y-4)[/tex]

We now expand again to get,


 [tex]3y(b^3-2b^2c+c^3)-4(b^3-2b^2c+c^3)[/tex]


This will give us


  [tex]3b^3y-6b^2cy+3c^3y-4b^3+8b^2c-4c^3[/tex]


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