factorise (2a + 3b)³ - (2a - 3b)³
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Step-by-step explanation:
1)(x+y)³=x³+y³+3x²y+3xy²
2)(x-y)³=x³-y³-3x²y+3xy²
(x+y)³-(x-y)³=2y³+6x²y
=2y(y²+3x²)
(2a+3b)³-(2a-3b)³
Here x=2a and y=3b
(2a+3b)³-(2a-3b)³
2(3b)[(3b)²+3(2a)²]
6b(9b²+12a²)
6b(3)(3b²+4a²)
18b(3b²+4a²)
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