Which of the following is the factor of expression below?
27x³ + 8
A. ( 2x² + 4 ) ( 9x + 2 )
B. ( 3x + 2 ) ( 9x² + 2 )
C. ( 9x + 2 ) ( x² + 18x + 4 )
D. ( 27 x + 8 ) ( x² - 216x + 64 )
27x³ + 8
A. ( 2x² + 4 ) ( 9x + 2 )
B. ( 3x + 2 ) ( 9x² + 2 )
C. ( 9x + 2 ) ( x² + 18x + 4 )
D. ( 27 x + 8 ) ( x² - 216x + 64 )
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Step-by-step explanation:
a³ - b³ = (a - b)(a² + ab + b²)
a³ + b³ = (a + b)(a² - ab + b²)
27x³ + 8
(3x)³ + 2³
(3x + 2)((3x)² - 3x(2) + 2²)
(3x + 2)(9x² - 6x + 4)