1. Oblicz korzystając ze wzorów skróconego mnożenia:
a)
b)
(2x+1)³ = (2x)³+3·(2x)²·1+3·2x·1²+1³ = 8x³+12x²+6x+1
(3x-4)³ = (3x)³-3·(3x)²·4+3·3x·4³ = 27x³-108x²+144x-64
(a+b)³ = a³+3a²b+3ab²+b³
(a-b)³ = a³-3a²b+3ab²-b³
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a)
b)
a)
(2x+1)³ = (2x)³+3·(2x)²·1+3·2x·1²+1³ = 8x³+12x²+6x+1
b)
(3x-4)³ = (3x)³-3·(3x)²·4+3·3x·4³ = 27x³-108x²+144x-64
(a+b)³ = a³+3a²b+3ab²+b³
(a-b)³ = a³-3a²b+3ab²-b³