lukegh
lukegh lukegh
  • 07-08-2020
  • Mathematics
contestada

show that (2x+3)^3 = 8x^3+36x^2+54x+27 for all values of x

Respuesta :

jimrgrant1 jimrgrant1
  • 07-08-2020

Answer:

see explanation

Step-by-step explanation:

Given

(2x + 3)³

= (2x + 3)(2x + 3)(2x + 3) ← expand the last 2 factors using FOIL

= (2x + 3)( 4x² + 12x + 9)

= 2x(4x² + 12x + 9) + 3(4x² + 12x + 9) ← distribute parenthesis

= 8x³ + 24x² + 18x + 12x² + 36x + 27 ← collect like terms

= 8x³ + 36x² + 54x + 27

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