Answer:
64x³ - 432x² + 972x - 729
Explanation:
Write the statement into an expression
(4x - 9)³
Now multiply that out...
(4x - 9)²(4x - 9)
Foil the first binomial
(16x² - 72x + 81)(4x - 9)
Multiply the two polynomials together
16x²(4x) - 72x(4x) + 81(4x) + 16x²(-9) - 72x(-9) + 81(-9)
64x³ - 288x² + 324x - 144x² + 648x - 729
combine like terms...
64x³ - 432x² + 972x - 729