Math, asked by harrymehra123, 1 year ago

factoeize it
64a3- 27b3-144a2b


A1111: I think that the question is incomplete.

Answers

Answered by amitnrw
2

Answer:

64a³ - 27b³ - 144a²b + 108ab² = (4a - 3b)³

Step-by-step explanation:

Complete Question would be Factorise the

64a³ - 27b³ - 144a²b + 108ab²

64a³ - 27b³ - 144a²b + 108ab²

= (4a)³ - (3b)³ - 3(4a)²(3b) + 3(4a)(3b)²

= (4a)³ + (-3b)³ + 3*(4a)²(-3b)  + 3(4a)(-3b)²

Using ( x + y)³ = x³ + y³ + 3x²y + 3xy²

Here  x = 4a   & y = - 3b

= (4a - 3b)³

64a³ - 27b³ - 144a²b + 108ab² = (4a - 3b)³

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