Oblicz i zredukuj wyrazy podobne.
(2√3-3√6)²
Uzyj wzoru skróconego mnożenia.
(a-b)²=a²-2ab+b²
12-6√18+64 = 12-12√9*√2+64 = 12-36√2+54= 66-36√2 = 6(11-6√2)
(2√3 - 3√6)² = (2√3)²-2·2√3·3√6+(3√6)² = 12-√18+54 = 66-√(9·2) = 66-12√9·√2 = 66-36√2 =
= 6(11-6√2)
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(a-b)²=a²-2ab+b²
12-6√18+64 = 12-12√9*√2+64 = 12-36√2+54= 66-36√2 = 6(11-6√2)
(2√3 - 3√6)² = (2√3)²-2·2√3·3√6+(3√6)² = 12-√18+54 = 66-√(9·2) = 66-12√9·√2 = 66-36√2 =
= 6(11-6√2)