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x=16*11⁴-22⁴+1 si y=27*11³+33³+2*1⁸. calculati (y-x)²⁰⁰⁰

Răspuns :

x = 16*11^4 - 22^4 + 1 = 16*11^4 - (11*2)^4 + 1 = 16*11^4 - 11^4 * 2^4 + 1 = 16*11^4 - 16*11^4 + 1 = 1
y = 27*11^3 - 33^3 + 2*1^8 = 27*11^3 - (3*11)^3 + 1 = 27*11^3 - 3^3*11^3 + 2 = 27*11^3 - 27*11^3 + 2 = 2
(y-x)^2000 = (2-1)^2000 = 1^2000 = 1
x = 16×11^4 - 22^4 + 1

x = 16 × 11^4 - 2^4 × 11^4 + 1

x = 11^4 × (16 - 16) + 1

x = 11^4 × 0 + 1

x = 1


y = 27 × 11^3 - 33^3 + 2 × 1^8

y = 27 × 11^3 - 3^3 × 11^3 + 2

y = 11^3 × ( 27 - 27) + 2

y = 11^3 × 0 + 2

y = 2


(y - x )^2000 = (2 - 1)^2000 = 1^2000 = 1