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b) (a-b)3 = a3 - 3a2b + 3ab2 - b3
(√2 - 1)³= 2√2-3*2+3√2-1=5√2-7
(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²
Oblicz:
a) (2√3 + 7)²= 12 + 28√3 + 49 = 61 + 28√3
b) (√2 - 1)³=( 2 - 2√2 + 1)(√2 - 1)= 2√2 - 2 - 4 + 2√2 + √2 - 1 = 5√2 - 7