carahigley carahigley
  • 19-04-2019
  • Mathematics
contestada

which of the following is the correct factorization of the polynomial below 8x^3+27y^3

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grace2442
grace2442 grace2442
  • 19-04-2019

(2x+3y)(4x^2-6xy+9y^2

Answer Link
dhiab
dhiab dhiab
  • 19-04-2019

Answer:

hello : 8x^3+27y^3  = ( 2x+3y)(4x²+9y² - 6xy)

Step-by-step explanation:

by identty : a^3+b^3 = (a+b)( a²+b²- ab)

8x^3+27y^3  = (2x)^3 + (3y)^3

a = 2x  and b = 3y

8x^3+27y^3  = ( 2x+3y)(4x²+9y² - 6xy)

Answer Link

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