Factorise : 64a^2b - 144b^3

64a 2 b \- 144b 3 = 16b(4a 2 \- 9b 2 ) = 16b((2a) 2 \- (3b) 2 ) = 16b(2a \+ 3b)(2a \- 3b) Hence, 64a 2 b \- 144b 3 = 16b(2a \+ 3b)(2a \- 3b)

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64a²b - 144b³

= 16b(4a² - 9b²)

= 16b((2a)² - (3b)²)

= 16b(2a + 3b)(2a - 3b)

Hence, 64a²b - 144b³ = 16b(2a + 3b)(2a - 3b)

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