haileyjeweline haileyjeweline

01-06-2021
Mathematics

contestada

Expand the function.
f(x) = (3x - 1)3

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hnori22003 hnori22003

01-06-2021

f( x ) = 27x^3 - 27x^2 + 9x - 1

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sreedevi102 sreedevi102

01-06-2021

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

[tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

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