a) E(x) = (x+3)² - (x-3)² = x² + 6x + 9 - x² + 6x - 9 = 12x, x€R
b) E(n²) + E(n) = 12n² + 12n = 12n(n+1), n€N
2 | n+1
12 | 12n
(din ambele rezulta ca) 24 | 12n(n+1)
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a) E(x) = (x+3)² - (x-3)² = x² + 6x + 9 - x² + 6x - 9 = 12x, x€R
b) E(n²) + E(n) = 12n² + 12n = 12n(n+1), n€N
2 | n+1
12 | 12n
(din ambele rezulta ca) 24 | 12n(n+1)