64/125a3-96/25a2+48/5a-8
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Answer:
(64/125)a³ - 8 - (96/25)a² + (48/5)a
= (4/5)³a³ - (2)³ - 6(4/5)²a² + 12(4/5)a
=(4a/5)³ - (2)³ - 6*(4a/5)² + 12(4a/5)
= x³ - (2)³ -6x² + 12x (Putting 4a/5 = x)
= x³ - -6x² + 12x - (2)³
= x³ - (3*x²*2) + (3*x*2²) - (2)³ [(a-b)³ = a³ - 3a²b + 3ab² - b³]
= x³ - 6x(x-2) - (2)³ [(a-b)³ = a³ - 3ab(a-b) - b³]
= (x-2)³
= [(4a/5) - 2]³ (Putting x = 4a/5)
= (2³){(2a/5) - 1}³
=8{(2a - 5)/5}³
= 8/5³ (2a - 5)³
= (8/125) (2a - 5) (2a - 5) (2a - 5)
Answer.
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